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Simplifying 7 + x = 18 + -1(x + 9) Reorder the terms: 7 + x = 18 + -1(9 + x) 7 + x = 18 + (9 * -1 + x * -1) 7 + x = 18 + (-9 + -1x) Combine like terms: 18 + -9 = 9 7 + x = 9 + -1x Solving 7 + x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + x + x = 9 + -1x + x Combine like terms: x + x = 2x 7 + 2x = 9 + -1x + x Combine like terms: -1x + x = 0 7 + 2x = 9 + 0 7 + 2x = 9 Add '-7' to each side of the equation. 7 + -7 + 2x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 9 + -7 2x = 9 + -7 Combine like terms: 9 + -7 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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