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Simplifying 2(x + 6) + 6 = 3(x + 5) + 7 Reorder the terms: 2(6 + x) + 6 = 3(x + 5) + 7 (6 * 2 + x * 2) + 6 = 3(x + 5) + 7 (12 + 2x) + 6 = 3(x + 5) + 7 Reorder the terms: 12 + 6 + 2x = 3(x + 5) + 7 Combine like terms: 12 + 6 = 18 18 + 2x = 3(x + 5) + 7 Reorder the terms: 18 + 2x = 3(5 + x) + 7 18 + 2x = (5 * 3 + x * 3) + 7 18 + 2x = (15 + 3x) + 7 Reorder the terms: 18 + 2x = 15 + 7 + 3x Combine like terms: 15 + 7 = 22 18 + 2x = 22 + 3x Solving 18 + 2x = 22 + 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. 18 + 2x + -3x = 22 + 3x + -3x Combine like terms: 2x + -3x = -1x 18 + -1x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -1x = 22 + 0 18 + -1x = 22 Add '-18' to each side of the equation. 18 + -18 + -1x = 22 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 22 + -18 -1x = 22 + -18 Combine like terms: 22 + -18 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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