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Simplifying 7 + 2(x + 9) + -13 = 9(x + 9) + -13 Reorder the terms: 7 + 2(9 + x) + -13 = 9(x + 9) + -13 7 + (9 * 2 + x * 2) + -13 = 9(x + 9) + -13 7 + (18 + 2x) + -13 = 9(x + 9) + -13 Reorder the terms: 7 + 18 + -13 + 2x = 9(x + 9) + -13 Combine like terms: 7 + 18 = 25 25 + -13 + 2x = 9(x + 9) + -13 Combine like terms: 25 + -13 = 12 12 + 2x = 9(x + 9) + -13 Reorder the terms: 12 + 2x = 9(9 + x) + -13 12 + 2x = (9 * 9 + x * 9) + -13 12 + 2x = (81 + 9x) + -13 Reorder the terms: 12 + 2x = 81 + -13 + 9x Combine like terms: 81 + -13 = 68 12 + 2x = 68 + 9x Solving 12 + 2x = 68 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 2x + -9x = 68 + 9x + -9x Combine like terms: 2x + -9x = -7x 12 + -7x = 68 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -7x = 68 + 0 12 + -7x = 68 Add '-12' to each side of the equation. 12 + -12 + -7x = 68 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 68 + -12 -7x = 68 + -12 Combine like terms: 68 + -12 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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