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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 = 27 27 + -1x = 7x + -5 Reorder the terms: 27 + -1x = -5 + 7x Solving 27 + -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. 27 + -1x + -7x = -5 + 7x + -7x Combine like terms: -1x + -7x = -8x 27 + -8x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -8x = -5 + 0 27 + -8x = -5 Add '-27' to each side of the equation. 27 + -27 + -8x = -5 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = -5 + -27 -8x = -5 + -27 Combine like terms: -5 + -27 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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