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Simplifying 2x + -3(x + r) = -5 Reorder the terms: 2x + -3(r + x) = -5 2x + (r * -3 + x * -3) = -5 2x + (-3r + -3x) = -5 Reorder the terms: -3r + 2x + -3x = -5 Combine like terms: 2x + -3x = -1x -3r + -1x = -5 Solving -3r + -1x = -5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'x' to each side of the equation. -3r + -1x + x = -5 + x Combine like terms: -1x + x = 0 -3r + 0 = -5 + x -3r = -5 + x Divide each side by '-3'. r = 1.666666667 + -0.3333333333x Simplifying r = 1.666666667 + -0.3333333333x

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