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Simplifying 35 + -1(x + 6) = 8x + -7 Reorder the terms: 35 + -1(6 + x) = 8x + -7 35 + (6 * -1 + x * -1) = 8x + -7 35 + (-6 + -1x) = 8x + -7 Combine like terms: 35 + -6 = 29 29 + -1x = 8x + -7 Reorder the terms: 29 + -1x = -7 + 8x Solving 29 + -1x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 29 + -1x + -8x = -7 + 8x + -8x Combine like terms: -1x + -8x = -9x 29 + -9x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 29 + -9x = -7 + 0 29 + -9x = -7 Add '-29' to each side of the equation. 29 + -29 + -9x = -7 + -29 Combine like terms: 29 + -29 = 0 0 + -9x = -7 + -29 -9x = -7 + -29 Combine like terms: -7 + -29 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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