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Simplifying 6 + -3(2x + -4) = 2(1 + -1x) Reorder the terms: 6 + -3(-4 + 2x) = 2(1 + -1x) 6 + (-4 * -3 + 2x * -3) = 2(1 + -1x) 6 + (12 + -6x) = 2(1 + -1x) Combine like terms: 6 + 12 = 18 18 + -6x = 2(1 + -1x) 18 + -6x = (1 * 2 + -1x * 2) 18 + -6x = (2 + -2x) Solving 18 + -6x = 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. 18 + -6x + 2x = 2 + -2x + 2x Combine like terms: -6x + 2x = -4x 18 + -4x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + -4x = 2 + 0 18 + -4x = 2 Add '-18' to each side of the equation. 18 + -18 + -4x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 2 + -18 -4x = 2 + -18 Combine like terms: 2 + -18 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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