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Simplifying 15 + -1(x + 7) = 9x + -2 Reorder the terms: 15 + -1(7 + x) = 9x + -2 15 + (7 * -1 + x * -1) = 9x + -2 15 + (-7 + -1x) = 9x + -2 Combine like terms: 15 + -7 = 8 8 + -1x = 9x + -2 Reorder the terms: 8 + -1x = -2 + 9x Solving 8 + -1x = -2 + 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. 8 + -1x + -9x = -2 + 9x + -9x Combine like terms: -1x + -9x = -10x 8 + -10x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -10x = -2 + 0 8 + -10x = -2 Add '-8' to each side of the equation. 8 + -8 + -10x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -2 + -8 -10x = -2 + -8 Combine like terms: -2 + -8 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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