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Simplifying 4(3x + 6) = -2(x + -6) + 4x Reorder the terms: 4(6 + 3x) = -2(x + -6) + 4x (6 * 4 + 3x * 4) = -2(x + -6) + 4x (24 + 12x) = -2(x + -6) + 4x Reorder the terms: 24 + 12x = -2(-6 + x) + 4x 24 + 12x = (-6 * -2 + x * -2) + 4x 24 + 12x = (12 + -2x) + 4x Combine like terms: -2x + 4x = 2x 24 + 12x = 12 + 2x Solving 24 + 12x = 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. 24 + 12x + -2x = 12 + 2x + -2x Combine like terms: 12x + -2x = 10x 24 + 10x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 10x = 12 + 0 24 + 10x = 12 Add '-24' to each side of the equation. 24 + -24 + 10x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = 12 + -24 10x = 12 + -24 Combine like terms: 12 + -24 = -12 10x = -12 Divide each side by '10'. x = -1.2 Simplifying x = -1.2
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