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Simplifying 5(1x + 7) = 8(10x + 5) Reorder the terms: 5(7 + 1x) = 8(10x + 5) (7 * 5 + 1x * 5) = 8(10x + 5) (35 + 5x) = 8(10x + 5) Reorder the terms: 35 + 5x = 8(5 + 10x) 35 + 5x = (5 * 8 + 10x * 8) 35 + 5x = (40 + 80x) Solving 35 + 5x = 40 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 35 + 5x + -80x = 40 + 80x + -80x Combine like terms: 5x + -80x = -75x 35 + -75x = 40 + 80x + -80x Combine like terms: 80x + -80x = 0 35 + -75x = 40 + 0 35 + -75x = 40 Add '-35' to each side of the equation. 35 + -35 + -75x = 40 + -35 Combine like terms: 35 + -35 = 0 0 + -75x = 40 + -35 -75x = 40 + -35 Combine like terms: 40 + -35 = 5 -75x = 5 Divide each side by '-75'. x = -0.06666666667 Simplifying x = -0.06666666667
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