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Simplifying 5(10x + -25) + 41 = 3(6x + 36) Reorder the terms: 5(-25 + 10x) + 41 = 3(6x + 36) (-25 * 5 + 10x * 5) + 41 = 3(6x + 36) (-125 + 50x) + 41 = 3(6x + 36) Reorder the terms: -125 + 41 + 50x = 3(6x + 36) Combine like terms: -125 + 41 = -84 -84 + 50x = 3(6x + 36) Reorder the terms: -84 + 50x = 3(36 + 6x) -84 + 50x = (36 * 3 + 6x * 3) -84 + 50x = (108 + 18x) Solving -84 + 50x = 108 + 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. -84 + 50x + -18x = 108 + 18x + -18x Combine like terms: 50x + -18x = 32x -84 + 32x = 108 + 18x + -18x Combine like terms: 18x + -18x = 0 -84 + 32x = 108 + 0 -84 + 32x = 108 Add '84' to each side of the equation. -84 + 84 + 32x = 108 + 84 Combine like terms: -84 + 84 = 0 0 + 32x = 108 + 84 32x = 108 + 84 Combine like terms: 108 + 84 = 192 32x = 192 Divide each side by '32'. x = 6 Simplifying x = 6
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