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Simplifying 2(x + 1) = 3(2x + -4) Reorder the terms: 2(1 + x) = 3(2x + -4) (1 * 2 + x * 2) = 3(2x + -4) (2 + 2x) = 3(2x + -4) Reorder the terms: 2 + 2x = 3(-4 + 2x) 2 + 2x = (-4 * 3 + 2x * 3) 2 + 2x = (-12 + 6x) Solving 2 + 2x = -12 + 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. 2 + 2x + -6x = -12 + 6x + -6x Combine like terms: 2x + -6x = -4x 2 + -4x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -4x = -12 + 0 2 + -4x = -12 Add '-2' to each side of the equation. 2 + -2 + -4x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -12 + -2 -4x = -12 + -2 Combine like terms: -12 + -2 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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