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Simplifying 12 + 2(3x + -4) = 15 + -3(x + 1) Reorder the terms: 12 + 2(-4 + 3x) = 15 + -3(x + 1) 12 + (-4 * 2 + 3x * 2) = 15 + -3(x + 1) 12 + (-8 + 6x) = 15 + -3(x + 1) Combine like terms: 12 + -8 = 4 4 + 6x = 15 + -3(x + 1) Reorder the terms: 4 + 6x = 15 + -3(1 + x) 4 + 6x = 15 + (1 * -3 + x * -3) 4 + 6x = 15 + (-3 + -3x) Combine like terms: 15 + -3 = 12 4 + 6x = 12 + -3x Solving 4 + 6x = 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. 4 + 6x + 3x = 12 + -3x + 3x Combine like terms: 6x + 3x = 9x 4 + 9x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 9x = 12 + 0 4 + 9x = 12 Add '-4' to each side of the equation. 4 + -4 + 9x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 12 + -4 9x = 12 + -4 Combine like terms: 12 + -4 = 8 9x = 8 Divide each side by '9'. x = 0.8888888889 Simplifying x = 0.8888888889
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