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Simplifying 2 + -2(1 + -2x) = 12(10 + x) + -3x 2 + (1 * -2 + -2x * -2) = 12(10 + x) + -3x 2 + (-2 + 4x) = 12(10 + x) + -3x Combine like terms: 2 + -2 = 0 0 + 4x = 12(10 + x) + -3x 4x = 12(10 + x) + -3x 4x = (10 * 12 + x * 12) + -3x 4x = (120 + 12x) + -3x Combine like terms: 12x + -3x = 9x 4x = 120 + 9x Solving 4x = 120 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4x + -9x = 120 + 9x + -9x Combine like terms: 4x + -9x = -5x -5x = 120 + 9x + -9x Combine like terms: 9x + -9x = 0 -5x = 120 + 0 -5x = 120 Divide each side by '-5'. x = -24 Simplifying x = -24
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