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Simplifying -2(x + 6) = 3(x + 4) Reorder the terms: -2(6 + x) = 3(x + 4) (6 * -2 + x * -2) = 3(x + 4) (-12 + -2x) = 3(x + 4) Reorder the terms: -12 + -2x = 3(4 + x) -12 + -2x = (4 * 3 + x * 3) -12 + -2x = (12 + 3x) Solving -12 + -2x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + -2x + -3x = 12 + 3x + -3x Combine like terms: -2x + -3x = -5x -12 + -5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -5x = 12 + 0 -12 + -5x = 12 Add '12' to each side of the equation. -12 + 12 + -5x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 12 + 12 -5x = 12 + 12 Combine like terms: 12 + 12 = 24 -5x = 24 Divide each side by '-5'. x = -4.8 Simplifying x = -4.8
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