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Simplifying 4(3x + 6) = 3(x + -2) + -6 Reorder the terms: 4(6 + 3x) = 3(x + -2) + -6 (6 * 4 + 3x * 4) = 3(x + -2) + -6 (24 + 12x) = 3(x + -2) + -6 Reorder the terms: 24 + 12x = 3(-2 + x) + -6 24 + 12x = (-2 * 3 + x * 3) + -6 24 + 12x = (-6 + 3x) + -6 Reorder the terms: 24 + 12x = -6 + -6 + 3x Combine like terms: -6 + -6 = -12 24 + 12x = -12 + 3x Solving 24 + 12x = -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. 24 + 12x + -3x = -12 + 3x + -3x Combine like terms: 12x + -3x = 9x 24 + 9x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 9x = -12 + 0 24 + 9x = -12 Add '-24' to each side of the equation. 24 + -24 + 9x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = -12 + -24 9x = -12 + -24 Combine like terms: -12 + -24 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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