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Simplifying 3(x + 2) + -3(4x + -2) = 15 Reorder the terms: 3(2 + x) + -3(4x + -2) = 15 (2 * 3 + x * 3) + -3(4x + -2) = 15 (6 + 3x) + -3(4x + -2) = 15 Reorder the terms: 6 + 3x + -3(-2 + 4x) = 15 6 + 3x + (-2 * -3 + 4x * -3) = 15 6 + 3x + (6 + -12x) = 15 Reorder the terms: 6 + 6 + 3x + -12x = 15 Combine like terms: 6 + 6 = 12 12 + 3x + -12x = 15 Combine like terms: 3x + -12x = -9x 12 + -9x = 15 Solving 12 + -9x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -9x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 15 + -12 -9x = 15 + -12 Combine like terms: 15 + -12 = 3 -9x = 3 Divide each side by '-9'. x = -0.3333333333 Simplifying x = -0.3333333333
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