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Simplifying -3(x + 4) = 2(x + 5) Reorder the terms: -3(4 + x) = 2(x + 5) (4 * -3 + x * -3) = 2(x + 5) (-12 + -3x) = 2(x + 5) Reorder the terms: -12 + -3x = 2(5 + x) -12 + -3x = (5 * 2 + x * 2) -12 + -3x = (10 + 2x) Solving -12 + -3x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + -3x + -2x = 10 + 2x + -2x Combine like terms: -3x + -2x = -5x -12 + -5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -5x = 10 + 0 -12 + -5x = 10 Add '12' to each side of the equation. -12 + 12 + -5x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 10 + 12 -5x = 10 + 12 Combine like terms: 10 + 12 = 22 -5x = 22 Divide each side by '-5'. x = -4.4 Simplifying x = -4.4
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