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Simplifying 6 + -3(2x + -4) = 2(1 + x) Reorder the terms: 6 + -3(-4 + 2x) = 2(1 + x) 6 + (-4 * -3 + 2x * -3) = 2(1 + x) 6 + (12 + -6x) = 2(1 + x) Combine like terms: 6 + 12 = 18 18 + -6x = 2(1 + x) 18 + -6x = (1 * 2 + x * 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 = -8x 18 + -8x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -8x = 2 + 0 18 + -8x = 2 Add '-18' to each side of the equation. 18 + -18 + -8x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = 2 + -18 -8x = 2 + -18 Combine like terms: 2 + -18 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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