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