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Simplifying 4(x + 3) = 2(1 + -1x) Reorder the terms: 4(3 + x) = 2(1 + -1x) (3 * 4 + x * 4) = 2(1 + -1x) (12 + 4x) = 2(1 + -1x) 12 + 4x = (1 * 2 + -1x * 2) 12 + 4x = (2 + -2x) Solving 12 + 4x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 4x + 2x = 2 + -2x + 2x Combine like terms: 4x + 2x = 6x 12 + 6x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 6x = 2 + 0 12 + 6x = 2 Add '-12' to each side of the equation. 12 + -12 + 6x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 2 + -12 6x = 2 + -12 Combine like terms: 2 + -12 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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