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Simplifying 5x + 3 = -5 + 8(1 + 5x) Reorder the terms: 3 + 5x = -5 + 8(1 + 5x) 3 + 5x = -5 + (1 * 8 + 5x * 8) 3 + 5x = -5 + (8 + 40x) Combine like terms: -5 + 8 = 3 3 + 5x = 3 + 40x Add '-3' to each side of the equation. 3 + -3 + 5x = 3 + -3 + 40x Combine like terms: 3 + -3 = 0 0 + 5x = 3 + -3 + 40x 5x = 3 + -3 + 40x Combine like terms: 3 + -3 = 0 5x = 0 + 40x 5x = 40x Solving 5x = 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. 5x + -40x = 40x + -40x Combine like terms: 5x + -40x = -35x -35x = 40x + -40x Combine like terms: 40x + -40x = 0 -35x = 0 Divide each side by '-35'. x = 0 Simplifying x = 0
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