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Simplifying 4(3x + 6) = -2(4x + 6) Reorder the terms: 4(6 + 3x) = -2(4x + 6) (6 * 4 + 3x * 4) = -2(4x + 6) (24 + 12x) = -2(4x + 6) Reorder the terms: 24 + 12x = -2(6 + 4x) 24 + 12x = (6 * -2 + 4x * -2) 24 + 12x = (-12 + -8x) Solving 24 + 12x = -12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 24 + 12x + 8x = -12 + -8x + 8x Combine like terms: 12x + 8x = 20x 24 + 20x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + 20x = -12 + 0 24 + 20x = -12 Add '-24' to each side of the equation. 24 + -24 + 20x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 20x = -12 + -24 20x = -12 + -24 Combine like terms: -12 + -24 = -36 20x = -36 Divide each side by '20'. x = -1.8 Simplifying x = -1.8
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