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Simplifying 3(7 + -9x) + -5(5x + -1) = -8(9x + -4) (7 * 3 + -9x * 3) + -5(5x + -1) = -8(9x + -4) (21 + -27x) + -5(5x + -1) = -8(9x + -4) Reorder the terms: 21 + -27x + -5(-1 + 5x) = -8(9x + -4) 21 + -27x + (-1 * -5 + 5x * -5) = -8(9x + -4) 21 + -27x + (5 + -25x) = -8(9x + -4) Reorder the terms: 21 + 5 + -27x + -25x = -8(9x + -4) Combine like terms: 21 + 5 = 26 26 + -27x + -25x = -8(9x + -4) Combine like terms: -27x + -25x = -52x 26 + -52x = -8(9x + -4) Reorder the terms: 26 + -52x = -8(-4 + 9x) 26 + -52x = (-4 * -8 + 9x * -8) 26 + -52x = (32 + -72x) Solving 26 + -52x = 32 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. 26 + -52x + 72x = 32 + -72x + 72x Combine like terms: -52x + 72x = 20x 26 + 20x = 32 + -72x + 72x Combine like terms: -72x + 72x = 0 26 + 20x = 32 + 0 26 + 20x = 32 Add '-26' to each side of the equation. 26 + -26 + 20x = 32 + -26 Combine like terms: 26 + -26 = 0 0 + 20x = 32 + -26 20x = 32 + -26 Combine like terms: 32 + -26 = 6 20x = 6 Divide each side by '20'. x = 0.3 Simplifying x = 0.3
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