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Simplifying 35 + -1(x + -8) = 7x + -5 Reorder the terms: 35 + -1(-8 + x) = 7x + -5 35 + (-8 * -1 + x * -1) = 7x + -5 35 + (8 + -1x) = 7x + -5 Combine like terms: 35 + 8 = 43 43 + -1x = 7x + -5 Reorder the terms: 43 + -1x = -5 + 7x Solving 43 + -1x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 43 + -1x + -7x = -5 + 7x + -7x Combine like terms: -1x + -7x = -8x 43 + -8x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 43 + -8x = -5 + 0 43 + -8x = -5 Add '-43' to each side of the equation. 43 + -43 + -8x = -5 + -43 Combine like terms: 43 + -43 = 0 0 + -8x = -5 + -43 -8x = -5 + -43 Combine like terms: -5 + -43 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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