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Simplifying 4(2x + 1) + -5(5x + -2) = 8 Reorder the terms: 4(1 + 2x) + -5(5x + -2) = 8 (1 * 4 + 2x * 4) + -5(5x + -2) = 8 (4 + 8x) + -5(5x + -2) = 8 Reorder the terms: 4 + 8x + -5(-2 + 5x) = 8 4 + 8x + (-2 * -5 + 5x * -5) = 8 4 + 8x + (10 + -25x) = 8 Reorder the terms: 4 + 10 + 8x + -25x = 8 Combine like terms: 4 + 10 = 14 14 + 8x + -25x = 8 Combine like terms: 8x + -25x = -17x 14 + -17x = 8 Solving 14 + -17x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -17x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -17x = 8 + -14 -17x = 8 + -14 Combine like terms: 8 + -14 = -6 -17x = -6 Divide each side by '-17'. x = 0.3529411765 Simplifying x = 0.3529411765
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