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Simplifying 8(1 + -4x) + -1 = 5(-7x + 8) (1 * 8 + -4x * 8) + -1 = 5(-7x + 8) (8 + -32x) + -1 = 5(-7x + 8) Reorder the terms: 8 + -1 + -32x = 5(-7x + 8) Combine like terms: 8 + -1 = 7 7 + -32x = 5(-7x + 8) Reorder the terms: 7 + -32x = 5(8 + -7x) 7 + -32x = (8 * 5 + -7x * 5) 7 + -32x = (40 + -35x) Solving 7 + -32x = 40 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 7 + -32x + 35x = 40 + -35x + 35x Combine like terms: -32x + 35x = 3x 7 + 3x = 40 + -35x + 35x Combine like terms: -35x + 35x = 0 7 + 3x = 40 + 0 7 + 3x = 40 Add '-7' to each side of the equation. 7 + -7 + 3x = 40 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 40 + -7 3x = 40 + -7 Combine like terms: 40 + -7 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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