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Simplifying 45 = 5(1 + 8x) 45 = (1 * 5 + 8x * 5) 45 = (5 + 40x) Solving 45 = 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. 45 + -40x = 5 + 40x + -40x Combine like terms: 40x + -40x = 0 45 + -40x = 5 + 0 45 + -40x = 5 Add '-45' to each side of the equation. 45 + -45 + -40x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -40x = 5 + -45 -40x = 5 + -45 Combine like terms: 5 + -45 = -40 -40x = -40 Divide each side by '-40'. x = 1 Simplifying x = 1
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