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Simplifying 3(x + 2) + -5 = 2(x + 6) Reorder the terms: 3(2 + x) + -5 = 2(x + 6) (2 * 3 + x * 3) + -5 = 2(x + 6) (6 + 3x) + -5 = 2(x + 6) Reorder the terms: 6 + -5 + 3x = 2(x + 6) Combine like terms: 6 + -5 = 1 1 + 3x = 2(x + 6) Reorder the terms: 1 + 3x = 2(6 + x) 1 + 3x = (6 * 2 + x * 2) 1 + 3x = (12 + 2x) Solving 1 + 3x = 12 + 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. 1 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x 1 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 1x = 12 + 0 1 + 1x = 12 Add '-1' to each side of the equation. 1 + -1 + 1x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 12 + -1 1x = 12 + -1 Combine like terms: 12 + -1 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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