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Simplifying -12(1 + -9x) + -12x = 4(-6x + -3) + 4x (1 * -12 + -9x * -12) + -12x = 4(-6x + -3) + 4x (-12 + 108x) + -12x = 4(-6x + -3) + 4x Combine like terms: 108x + -12x = 96x -12 + 96x = 4(-6x + -3) + 4x Reorder the terms: -12 + 96x = 4(-3 + -6x) + 4x -12 + 96x = (-3 * 4 + -6x * 4) + 4x -12 + 96x = (-12 + -24x) + 4x Combine like terms: -24x + 4x = -20x -12 + 96x = -12 + -20x Add '12' to each side of the equation. -12 + 12 + 96x = -12 + 12 + -20x Combine like terms: -12 + 12 = 0 0 + 96x = -12 + 12 + -20x 96x = -12 + 12 + -20x Combine like terms: -12 + 12 = 0 96x = 0 + -20x 96x = -20x Solving 96x = -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 96x + 20x = -20x + 20x Combine like terms: 96x + 20x = 116x 116x = -20x + 20x Combine like terms: -20x + 20x = 0 116x = 0 Divide each side by '116'. x = 0 Simplifying x = 0
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