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Simplifying 35 + -7x = -8x + -8(x + -1) Reorder the terms: 35 + -7x = -8x + -8(-1 + x) 35 + -7x = -8x + (-1 * -8 + x * -8) 35 + -7x = -8x + (8 + -8x) Reorder the terms: 35 + -7x = 8 + -8x + -8x Combine like terms: -8x + -8x = -16x 35 + -7x = 8 + -16x Solving 35 + -7x = 8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 35 + -7x + 16x = 8 + -16x + 16x Combine like terms: -7x + 16x = 9x 35 + 9x = 8 + -16x + 16x Combine like terms: -16x + 16x = 0 35 + 9x = 8 + 0 35 + 9x = 8 Add '-35' to each side of the equation. 35 + -35 + 9x = 8 + -35 Combine like terms: 35 + -35 = 0 0 + 9x = 8 + -35 9x = 8 + -35 Combine like terms: 8 + -35 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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