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Simplifying 3x + -3(4x + -4) = 102 Reorder the terms: 3x + -3(-4 + 4x) = 102 3x + (-4 * -3 + 4x * -3) = 102 3x + (12 + -12x) = 102 Reorder the terms: 12 + 3x + -12x = 102 Combine like terms: 3x + -12x = -9x 12 + -9x = 102 Solving 12 + -9x = 102 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 = 102 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 102 + -12 -9x = 102 + -12 Combine like terms: 102 + -12 = 90 -9x = 90 Divide each side by '-9'. x = -10 Simplifying x = -10
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