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Simplifying 4x = 12 + -6(2x + 3(1 + -1x)) 4x = 12 + -6(2x + (1 * 3 + -1x * 3)) 4x = 12 + -6(2x + (3 + -3x)) Reorder the terms: 4x = 12 + -6(3 + 2x + -3x) Combine like terms: 2x + -3x = -1x 4x = 12 + -6(3 + -1x) 4x = 12 + (3 * -6 + -1x * -6) 4x = 12 + (-18 + 6x) Combine like terms: 12 + -18 = -6 4x = -6 + 6x Solving 4x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4x + -6x = -6 + 6x + -6x Combine like terms: 4x + -6x = -2x -2x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -2x = -6 + 0 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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