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Simplifying -4(3x + 5) = 2(6 + -2x) Reorder the terms: -4(5 + 3x) = 2(6 + -2x) (5 * -4 + 3x * -4) = 2(6 + -2x) (-20 + -12x) = 2(6 + -2x) -20 + -12x = (6 * 2 + -2x * 2) -20 + -12x = (12 + -4x) Solving -20 + -12x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -20 + -12x + 4x = 12 + -4x + 4x Combine like terms: -12x + 4x = -8x -20 + -8x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + -8x = 12 + 0 -20 + -8x = 12 Add '20' to each side of the equation. -20 + 20 + -8x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -8x = 12 + 20 -8x = 12 + 20 Combine like terms: 12 + 20 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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