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Simplifying 35 + 6x = 8(-1x + 1) + -1 Reorder the terms: 35 + 6x = 8(1 + -1x) + -1 35 + 6x = (1 * 8 + -1x * 8) + -1 35 + 6x = (8 + -8x) + -1 Reorder the terms: 35 + 6x = 8 + -1 + -8x Combine like terms: 8 + -1 = 7 35 + 6x = 7 + -8x Solving 35 + 6x = 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. 35 + 6x + 8x = 7 + -8x + 8x Combine like terms: 6x + 8x = 14x 35 + 14x = 7 + -8x + 8x Combine like terms: -8x + 8x = 0 35 + 14x = 7 + 0 35 + 14x = 7 Add '-35' to each side of the equation. 35 + -35 + 14x = 7 + -35 Combine like terms: 35 + -35 = 0 0 + 14x = 7 + -35 14x = 7 + -35 Combine like terms: 7 + -35 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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