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Simplifying -3(4x + 6) = 2(7 + -5x) Reorder the terms: -3(6 + 4x) = 2(7 + -5x) (6 * -3 + 4x * -3) = 2(7 + -5x) (-18 + -12x) = 2(7 + -5x) -18 + -12x = (7 * 2 + -5x * 2) -18 + -12x = (14 + -10x) Solving -18 + -12x = 14 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -18 + -12x + 10x = 14 + -10x + 10x Combine like terms: -12x + 10x = -2x -18 + -2x = 14 + -10x + 10x Combine like terms: -10x + 10x = 0 -18 + -2x = 14 + 0 -18 + -2x = 14 Add '18' to each side of the equation. -18 + 18 + -2x = 14 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = 14 + 18 -2x = 14 + 18 Combine like terms: 14 + 18 = 32 -2x = 32 Divide each side by '-2'. x = -16 Simplifying x = -16
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