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Simplifying 6(40x + 90) = 25 + -1(10x + -30) Reorder the terms: 6(90 + 40x) = 25 + -1(10x + -30) (90 * 6 + 40x * 6) = 25 + -1(10x + -30) (540 + 240x) = 25 + -1(10x + -30) Reorder the terms: 540 + 240x = 25 + -1(-30 + 10x) 540 + 240x = 25 + (-30 * -1 + 10x * -1) 540 + 240x = 25 + (30 + -10x) Combine like terms: 25 + 30 = 55 540 + 240x = 55 + -10x Solving 540 + 240x = 55 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 540 + 240x + 10x = 55 + -10x + 10x Combine like terms: 240x + 10x = 250x 540 + 250x = 55 + -10x + 10x Combine like terms: -10x + 10x = 0 540 + 250x = 55 + 0 540 + 250x = 55 Add '-540' to each side of the equation. 540 + -540 + 250x = 55 + -540 Combine like terms: 540 + -540 = 0 0 + 250x = 55 + -540 250x = 55 + -540 Combine like terms: 55 + -540 = -485 250x = -485 Divide each side by '250'. x = -1.94 Simplifying x = -1.94
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