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Simplifying 35(x + -1) = 8(4x + -1) Reorder the terms: 35(-1 + x) = 8(4x + -1) (-1 * 35 + x * 35) = 8(4x + -1) (-35 + 35x) = 8(4x + -1) Reorder the terms: -35 + 35x = 8(-1 + 4x) -35 + 35x = (-1 * 8 + 4x * 8) -35 + 35x = (-8 + 32x) Solving -35 + 35x = -8 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -35 + 35x + -32x = -8 + 32x + -32x Combine like terms: 35x + -32x = 3x -35 + 3x = -8 + 32x + -32x Combine like terms: 32x + -32x = 0 -35 + 3x = -8 + 0 -35 + 3x = -8 Add '35' to each side of the equation. -35 + 35 + 3x = -8 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = -8 + 35 3x = -8 + 35 Combine like terms: -8 + 35 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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