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Simplifying 7(2 + -1x) = 2(x + 7) + 9 (2 * 7 + -1x * 7) = 2(x + 7) + 9 (14 + -7x) = 2(x + 7) + 9 Reorder the terms: 14 + -7x = 2(7 + x) + 9 14 + -7x = (7 * 2 + x * 2) + 9 14 + -7x = (14 + 2x) + 9 Reorder the terms: 14 + -7x = 14 + 9 + 2x Combine like terms: 14 + 9 = 23 14 + -7x = 23 + 2x Solving 14 + -7x = 23 + 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. 14 + -7x + -2x = 23 + 2x + -2x Combine like terms: -7x + -2x = -9x 14 + -9x = 23 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -9x = 23 + 0 14 + -9x = 23 Add '-14' to each side of the equation. 14 + -14 + -9x = 23 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = 23 + -14 -9x = 23 + -14 Combine like terms: 23 + -14 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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