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Simplifying 2(x + 1) = 3(4x + -6) Reorder the terms: 2(1 + x) = 3(4x + -6) (1 * 2 + x * 2) = 3(4x + -6) (2 + 2x) = 3(4x + -6) Reorder the terms: 2 + 2x = 3(-6 + 4x) 2 + 2x = (-6 * 3 + 4x * 3) 2 + 2x = (-18 + 12x) Solving 2 + 2x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + 2x + -12x = -18 + 12x + -12x Combine like terms: 2x + -12x = -10x 2 + -10x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -10x = -18 + 0 2 + -10x = -18 Add '-2' to each side of the equation. 2 + -2 + -10x = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = -18 + -2 -10x = -18 + -2 Combine like terms: -18 + -2 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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