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Simplifying 22 + 41(1 + -5x) = 25 + -1(2x + 17) 22 + (1 * 41 + -5x * 41) = 25 + -1(2x + 17) 22 + (41 + -205x) = 25 + -1(2x + 17) Combine like terms: 22 + 41 = 63 63 + -205x = 25 + -1(2x + 17) Reorder the terms: 63 + -205x = 25 + -1(17 + 2x) 63 + -205x = 25 + (17 * -1 + 2x * -1) 63 + -205x = 25 + (-17 + -2x) Combine like terms: 25 + -17 = 8 63 + -205x = 8 + -2x Solving 63 + -205x = 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. 63 + -205x + 2x = 8 + -2x + 2x Combine like terms: -205x + 2x = -203x 63 + -203x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 63 + -203x = 8 + 0 63 + -203x = 8 Add '-63' to each side of the equation. 63 + -63 + -203x = 8 + -63 Combine like terms: 63 + -63 = 0 0 + -203x = 8 + -63 -203x = 8 + -63 Combine like terms: 8 + -63 = -55 -203x = -55 Divide each side by '-203'. x = 0.2709359606 Simplifying x = 0.2709359606
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