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Simplifying 4(1 + 8x) + 7 = -7(5x + 8) (1 * 4 + 8x * 4) + 7 = -7(5x + 8) (4 + 32x) + 7 = -7(5x + 8) Reorder the terms: 4 + 7 + 32x = -7(5x + 8) Combine like terms: 4 + 7 = 11 11 + 32x = -7(5x + 8) Reorder the terms: 11 + 32x = -7(8 + 5x) 11 + 32x = (8 * -7 + 5x * -7) 11 + 32x = (-56 + -35x) Solving 11 + 32x = -56 + -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. 11 + 32x + 35x = -56 + -35x + 35x Combine like terms: 32x + 35x = 67x 11 + 67x = -56 + -35x + 35x Combine like terms: -35x + 35x = 0 11 + 67x = -56 + 0 11 + 67x = -56 Add '-11' to each side of the equation. 11 + -11 + 67x = -56 + -11 Combine like terms: 11 + -11 = 0 0 + 67x = -56 + -11 67x = -56 + -11 Combine like terms: -56 + -11 = -67 67x = -67 Divide each side by '67'. x = -1 Simplifying x = -1
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