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Simplifying 1 + -5(1 + -8x) = 9(2x + 2) 1 + (1 * -5 + -8x * -5) = 9(2x + 2) 1 + (-5 + 40x) = 9(2x + 2) Combine like terms: 1 + -5 = -4 -4 + 40x = 9(2x + 2) Reorder the terms: -4 + 40x = 9(2 + 2x) -4 + 40x = (2 * 9 + 2x * 9) -4 + 40x = (18 + 18x) Solving -4 + 40x = 18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -4 + 40x + -18x = 18 + 18x + -18x Combine like terms: 40x + -18x = 22x -4 + 22x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 -4 + 22x = 18 + 0 -4 + 22x = 18 Add '4' to each side of the equation. -4 + 4 + 22x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + 22x = 18 + 4 22x = 18 + 4 Combine like terms: 18 + 4 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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