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Simplifying -5(x + 3) = -2(x + -6) Reorder the terms: -5(3 + x) = -2(x + -6) (3 * -5 + x * -5) = -2(x + -6) (-15 + -5x) = -2(x + -6) Reorder the terms: -15 + -5x = -2(-6 + x) -15 + -5x = (-6 * -2 + x * -2) -15 + -5x = (12 + -2x) Solving -15 + -5x = 12 + -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. -15 + -5x + 2x = 12 + -2x + 2x Combine like terms: -5x + 2x = -3x -15 + -3x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + -3x = 12 + 0 -15 + -3x = 12 Add '15' to each side of the equation. -15 + 15 + -3x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 12 + 15 -3x = 12 + 15 Combine like terms: 12 + 15 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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