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Simplifying 5(x + 7) = 8(5x + 7) Reorder the terms: 5(7 + x) = 8(5x + 7) (7 * 5 + x * 5) = 8(5x + 7) (35 + 5x) = 8(5x + 7) Reorder the terms: 35 + 5x = 8(7 + 5x) 35 + 5x = (7 * 8 + 5x * 8) 35 + 5x = (56 + 40x) Solving 35 + 5x = 56 + 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. 35 + 5x + -40x = 56 + 40x + -40x Combine like terms: 5x + -40x = -35x 35 + -35x = 56 + 40x + -40x Combine like terms: 40x + -40x = 0 35 + -35x = 56 + 0 35 + -35x = 56 Add '-35' to each side of the equation. 35 + -35 + -35x = 56 + -35 Combine like terms: 35 + -35 = 0 0 + -35x = 56 + -35 -35x = 56 + -35 Combine like terms: 56 + -35 = 21 -35x = 21 Divide each side by '-35'. x = -0.6 Simplifying x = -0.6
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