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Simplifying -4(-9x + -17) = 40(14 + -4x) Reorder the terms: -4(-17 + -9x) = 40(14 + -4x) (-17 * -4 + -9x * -4) = 40(14 + -4x) (68 + 36x) = 40(14 + -4x) 68 + 36x = (14 * 40 + -4x * 40) 68 + 36x = (560 + -160x) Solving 68 + 36x = 560 + -160x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '160x' to each side of the equation. 68 + 36x + 160x = 560 + -160x + 160x Combine like terms: 36x + 160x = 196x 68 + 196x = 560 + -160x + 160x Combine like terms: -160x + 160x = 0 68 + 196x = 560 + 0 68 + 196x = 560 Add '-68' to each side of the equation. 68 + -68 + 196x = 560 + -68 Combine like terms: 68 + -68 = 0 0 + 196x = 560 + -68 196x = 560 + -68 Combine like terms: 560 + -68 = 492 196x = 492 Divide each side by '196'. x = 2.510204082 Simplifying x = 2.510204082
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