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