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Simplifying 8(10 + -5x) = 62 + -7(5x + 1) (10 * 8 + -5x * 8) = 62 + -7(5x + 1) (80 + -40x) = 62 + -7(5x + 1) Reorder the terms: 80 + -40x = 62 + -7(1 + 5x) 80 + -40x = 62 + (1 * -7 + 5x * -7) 80 + -40x = 62 + (-7 + -35x) Combine like terms: 62 + -7 = 55 80 + -40x = 55 + -35x Solving 80 + -40x = 55 + -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. 80 + -40x + 35x = 55 + -35x + 35x Combine like terms: -40x + 35x = -5x 80 + -5x = 55 + -35x + 35x Combine like terms: -35x + 35x = 0 80 + -5x = 55 + 0 80 + -5x = 55 Add '-80' to each side of the equation. 80 + -80 + -5x = 55 + -80 Combine like terms: 80 + -80 = 0 0 + -5x = 55 + -80 -5x = 55 + -80 Combine like terms: 55 + -80 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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