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Simplifying 2(x + 2) = 3(4x + -2) Reorder the terms: 2(2 + x) = 3(4x + -2) (2 * 2 + x * 2) = 3(4x + -2) (4 + 2x) = 3(4x + -2) Reorder the terms: 4 + 2x = 3(-2 + 4x) 4 + 2x = (-2 * 3 + 4x * 3) 4 + 2x = (-6 + 12x) Solving 4 + 2x = -6 + 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. 4 + 2x + -12x = -6 + 12x + -12x Combine like terms: 2x + -12x = -10x 4 + -10x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -10x = -6 + 0 4 + -10x = -6 Add '-4' to each side of the equation. 4 + -4 + -10x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -10x = -6 + -4 -10x = -6 + -4 Combine like terms: -6 + -4 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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