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Simplifying 3(7 + -9x) + -5(5x + 1) = 9(2x + -5) + -3(3x + -5) (7 * 3 + -9x * 3) + -5(5x + 1) = 9(2x + -5) + -3(3x + -5) (21 + -27x) + -5(5x + 1) = 9(2x + -5) + -3(3x + -5) Reorder the terms: 21 + -27x + -5(1 + 5x) = 9(2x + -5) + -3(3x + -5) 21 + -27x + (1 * -5 + 5x * -5) = 9(2x + -5) + -3(3x + -5) 21 + -27x + (-5 + -25x) = 9(2x + -5) + -3(3x + -5) Reorder the terms: 21 + -5 + -27x + -25x = 9(2x + -5) + -3(3x + -5) Combine like terms: 21 + -5 = 16 16 + -27x + -25x = 9(2x + -5) + -3(3x + -5) Combine like terms: -27x + -25x = -52x 16 + -52x = 9(2x + -5) + -3(3x + -5) Reorder the terms: 16 + -52x = 9(-5 + 2x) + -3(3x + -5) 16 + -52x = (-5 * 9 + 2x * 9) + -3(3x + -5) 16 + -52x = (-45 + 18x) + -3(3x + -5) Reorder the terms: 16 + -52x = -45 + 18x + -3(-5 + 3x) 16 + -52x = -45 + 18x + (-5 * -3 + 3x * -3) 16 + -52x = -45 + 18x + (15 + -9x) Reorder the terms: 16 + -52x = -45 + 15 + 18x + -9x Combine like terms: -45 + 15 = -30 16 + -52x = -30 + 18x + -9x Combine like terms: 18x + -9x = 9x 16 + -52x = -30 + 9x Solving 16 + -52x = -30 + 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 = -30 + 9x + -9x Combine like terms: -52x + -9x = -61x 16 + -61x = -30 + 9x + -9x Combine like terms: 9x + -9x = 0 16 + -61x = -30 + 0 16 + -61x = -30 Add '-16' to each side of the equation. 16 + -16 + -61x = -30 + -16 Combine like terms: 16 + -16 = 0 0 + -61x = -30 + -16 -61x = -30 + -16 Combine like terms: -30 + -16 = -46 -61x = -46 Divide each side by '-61'. x = 0.7540983607 Simplifying x = 0.7540983607
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