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Simplifying 0.2(25x + -75) + 9 = 0.25(8x + 36) Reorder the terms: 0.2(-75 + 25x) + 9 = 0.25(8x + 36) (-75 * 0.2 + 25x * 0.2) + 9 = 0.25(8x + 36) (-15 + 5x) + 9 = 0.25(8x + 36) Reorder the terms: -15 + 9 + 5x = 0.25(8x + 36) Combine like terms: -15 + 9 = -6 -6 + 5x = 0.25(8x + 36) Reorder the terms: -6 + 5x = 0.25(36 + 8x) -6 + 5x = (36 * 0.25 + 8x * 0.25) -6 + 5x = (9 + 2x) Solving -6 + 5x = 9 + 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. -6 + 5x + -2x = 9 + 2x + -2x Combine like terms: 5x + -2x = 3x -6 + 3x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 3x = 9 + 0 -6 + 3x = 9 Add '6' to each side of the equation. -6 + 6 + 3x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 9 + 6 3x = 9 + 6 Combine like terms: 9 + 6 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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