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Simplifying 2(x + -3) + -3(x + -2) = (x + 2) + -1(x + -2) Reorder the terms: 2(-3 + x) + -3(x + -2) = (x + 2) + -1(x + -2) (-3 * 2 + x * 2) + -3(x + -2) = (x + 2) + -1(x + -2) (-6 + 2x) + -3(x + -2) = (x + 2) + -1(x + -2) Reorder the terms: -6 + 2x + -3(-2 + x) = (x + 2) + -1(x + -2) -6 + 2x + (-2 * -3 + x * -3) = (x + 2) + -1(x + -2) -6 + 2x + (6 + -3x) = (x + 2) + -1(x + -2) Reorder the terms: -6 + 6 + 2x + -3x = (x + 2) + -1(x + -2) Combine like terms: -6 + 6 = 0 0 + 2x + -3x = (x + 2) + -1(x + -2) 2x + -3x = (x + 2) + -1(x + -2) Combine like terms: 2x + -3x = -1x -1x = (x + 2) + -1(x + -2) Reorder the terms: -1x = (2 + x) + -1(x + -2) Remove parenthesis around (2 + x) -1x = 2 + x + -1(x + -2) Reorder the terms: -1x = 2 + x + -1(-2 + x) -1x = 2 + x + (-2 * -1 + x * -1) -1x = 2 + x + (2 + -1x) Reorder the terms: -1x = 2 + 2 + x + -1x Combine like terms: 2 + 2 = 4 -1x = 4 + x + -1x Combine like terms: x + -1x = 0 -1x = 4 + 0 -1x = 4 Solving -1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = -4 Simplifying x = -4
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