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Simplifying 29 + -1(x + 7) = 9x + -8 Reorder the terms: 29 + -1(7 + x) = 9x + -8 29 + (7 * -1 + x * -1) = 9x + -8 29 + (-7 + -1x) = 9x + -8 Combine like terms: 29 + -7 = 22 22 + -1x = 9x + -8 Reorder the terms: 22 + -1x = -8 + 9x Solving 22 + -1x = -8 + 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. 22 + -1x + -9x = -8 + 9x + -9x Combine like terms: -1x + -9x = -10x 22 + -10x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + -10x = -8 + 0 22 + -10x = -8 Add '-22' to each side of the equation. 22 + -22 + -10x = -8 + -22 Combine like terms: 22 + -22 = 0 0 + -10x = -8 + -22 -10x = -8 + -22 Combine like terms: -8 + -22 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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