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Simplifying 3(x + 4) + -4 = 2(x + 4) + 2 Reorder the terms: 3(4 + x) + -4 = 2(x + 4) + 2 (4 * 3 + x * 3) + -4 = 2(x + 4) + 2 (12 + 3x) + -4 = 2(x + 4) + 2 Reorder the terms: 12 + -4 + 3x = 2(x + 4) + 2 Combine like terms: 12 + -4 = 8 8 + 3x = 2(x + 4) + 2 Reorder the terms: 8 + 3x = 2(4 + x) + 2 8 + 3x = (4 * 2 + x * 2) + 2 8 + 3x = (8 + 2x) + 2 Reorder the terms: 8 + 3x = 8 + 2 + 2x Combine like terms: 8 + 2 = 10 8 + 3x = 10 + 2x Solving 8 + 3x = 10 + 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. 8 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 8 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 1x = 10 + 0 8 + 1x = 10 Add '-8' to each side of the equation. 8 + -8 + 1x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 10 + -8 1x = 10 + -8 Combine like terms: 10 + -8 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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