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Simplifying 39 + -1(x + 7) = 9x + -8 Reorder the terms: 39 + -1(7 + x) = 9x + -8 39 + (7 * -1 + x * -1) = 9x + -8 39 + (-7 + -1x) = 9x + -8 Combine like terms: 39 + -7 = 32 32 + -1x = 9x + -8 Reorder the terms: 32 + -1x = -8 + 9x Solving 32 + -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. 32 + -1x + -9x = -8 + 9x + -9x Combine like terms: -1x + -9x = -10x 32 + -10x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + -10x = -8 + 0 32 + -10x = -8 Add '-32' to each side of the equation. 32 + -32 + -10x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -10x = -8 + -32 -10x = -8 + -32 Combine like terms: -8 + -32 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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