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