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Simplifying 3(7 + -9x) + -5(5x + 1) = -3(3x + -5) (7 * 3 + -9x * 3) + -5(5x + 1) = -3(3x + -5) (21 + -27x) + -5(5x + 1) = -3(3x + -5) Reorder the terms: 21 + -27x + -5(1 + 5x) = -3(3x + -5) 21 + -27x + (1 * -5 + 5x * -5) = -3(3x + -5) 21 + -27x + (-5 + -25x) = -3(3x + -5) Reorder the terms: 21 + -5 + -27x + -25x = -3(3x + -5) Combine like terms: 21 + -5 = 16 16 + -27x + -25x = -3(3x + -5) Combine like terms: -27x + -25x = -52x 16 + -52x = -3(3x + -5) Reorder the terms: 16 + -52x = -3(-5 + 3x) 16 + -52x = (-5 * -3 + 3x * -3) 16 + -52x = (15 + -9x) Solving 16 + -52x = 15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 16 + -52x + 9x = 15 + -9x + 9x Combine like terms: -52x + 9x = -43x 16 + -43x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 16 + -43x = 15 + 0 16 + -43x = 15 Add '-16' to each side of the equation. 16 + -16 + -43x = 15 + -16 Combine like terms: 16 + -16 = 0 0 + -43x = 15 + -16 -43x = 15 + -16 Combine like terms: 15 + -16 = -1 -43x = -1 Divide each side by '-43'. x = 0.02325581395 Simplifying x = 0.02325581395
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