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Simplifying 8(1 + 5x) = 10(8 + -4x) + 8 (1 * 8 + 5x * 8) = 10(8 + -4x) + 8 (8 + 40x) = 10(8 + -4x) + 8 8 + 40x = (8 * 10 + -4x * 10) + 8 8 + 40x = (80 + -40x) + 8 Reorder the terms: 8 + 40x = 80 + 8 + -40x Combine like terms: 80 + 8 = 88 8 + 40x = 88 + -40x Solving 8 + 40x = 88 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 8 + 40x + 40x = 88 + -40x + 40x Combine like terms: 40x + 40x = 80x 8 + 80x = 88 + -40x + 40x Combine like terms: -40x + 40x = 0 8 + 80x = 88 + 0 8 + 80x = 88 Add '-8' to each side of the equation. 8 + -8 + 80x = 88 + -8 Combine like terms: 8 + -8 = 0 0 + 80x = 88 + -8 80x = 88 + -8 Combine like terms: 88 + -8 = 80 80x = 80 Divide each side by '80'. x = 1 Simplifying x = 1
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