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Simplifying -4(2x + -25) = 5(30 + -5x) Reorder the terms: -4(-25 + 2x) = 5(30 + -5x) (-25 * -4 + 2x * -4) = 5(30 + -5x) (100 + -8x) = 5(30 + -5x) 100 + -8x = (30 * 5 + -5x * 5) 100 + -8x = (150 + -25x) Solving 100 + -8x = 150 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 100 + -8x + 25x = 150 + -25x + 25x Combine like terms: -8x + 25x = 17x 100 + 17x = 150 + -25x + 25x Combine like terms: -25x + 25x = 0 100 + 17x = 150 + 0 100 + 17x = 150 Add '-100' to each side of the equation. 100 + -100 + 17x = 150 + -100 Combine like terms: 100 + -100 = 0 0 + 17x = 150 + -100 17x = 150 + -100 Combine like terms: 150 + -100 = 50 17x = 50 Divide each side by '17'. x = 2.941176471 Simplifying x = 2.941176471
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