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Simplifying 2(3x + 4) + -2 = 3(x + 2) + 3 Reorder the terms: 2(4 + 3x) + -2 = 3(x + 2) + 3 (4 * 2 + 3x * 2) + -2 = 3(x + 2) + 3 (8 + 6x) + -2 = 3(x + 2) + 3 Reorder the terms: 8 + -2 + 6x = 3(x + 2) + 3 Combine like terms: 8 + -2 = 6 6 + 6x = 3(x + 2) + 3 Reorder the terms: 6 + 6x = 3(2 + x) + 3 6 + 6x = (2 * 3 + x * 3) + 3 6 + 6x = (6 + 3x) + 3 Reorder the terms: 6 + 6x = 6 + 3 + 3x Combine like terms: 6 + 3 = 9 6 + 6x = 9 + 3x Solving 6 + 6x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 6x + -3x = 9 + 3x + -3x Combine like terms: 6x + -3x = 3x 6 + 3x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 3x = 9 + 0 6 + 3x = 9 Add '-6' to each side of the equation. 6 + -6 + 3x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 9 + -6 3x = 9 + -6 Combine like terms: 9 + -6 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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