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Simplifying 3(x + 4) + -2 = 2(x + 5) + -4 Reorder the terms: 3(4 + x) + -2 = 2(x + 5) + -4 (4 * 3 + x * 3) + -2 = 2(x + 5) + -4 (12 + 3x) + -2 = 2(x + 5) + -4 Reorder the terms: 12 + -2 + 3x = 2(x + 5) + -4 Combine like terms: 12 + -2 = 10 10 + 3x = 2(x + 5) + -4 Reorder the terms: 10 + 3x = 2(5 + x) + -4 10 + 3x = (5 * 2 + x * 2) + -4 10 + 3x = (10 + 2x) + -4 Reorder the terms: 10 + 3x = 10 + -4 + 2x Combine like terms: 10 + -4 = 6 10 + 3x = 6 + 2x Solving 10 + 3x = 6 + 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. 10 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x 10 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 1x = 6 + 0 10 + 1x = 6 Add '-10' to each side of the equation. 10 + -10 + 1x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 6 + -10 1x = 6 + -10 Combine like terms: 6 + -10 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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