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Simplifying 22 + 4(1 + -5x) = 25 + -1(2x + 17) 22 + (1 * 4 + -5x * 4) = 25 + -1(2x + 17) 22 + (4 + -20x) = 25 + -1(2x + 17) Combine like terms: 22 + 4 = 26 26 + -20x = 25 + -1(2x + 17) Reorder the terms: 26 + -20x = 25 + -1(17 + 2x) 26 + -20x = 25 + (17 * -1 + 2x * -1) 26 + -20x = 25 + (-17 + -2x) Combine like terms: 25 + -17 = 8 26 + -20x = 8 + -2x Solving 26 + -20x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 26 + -20x + 2x = 8 + -2x + 2x Combine like terms: -20x + 2x = -18x 26 + -18x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 26 + -18x = 8 + 0 26 + -18x = 8 Add '-26' to each side of the equation. 26 + -26 + -18x = 8 + -26 Combine like terms: 26 + -26 = 0 0 + -18x = 8 + -26 -18x = 8 + -26 Combine like terms: 8 + -26 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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