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