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Simplifying 3(5x + -9) = 2(4 + -1x) Reorder the terms: 3(-9 + 5x) = 2(4 + -1x) (-9 * 3 + 5x * 3) = 2(4 + -1x) (-27 + 15x) = 2(4 + -1x) -27 + 15x = (4 * 2 + -1x * 2) -27 + 15x = (8 + -2x) Solving -27 + 15x = 8 + -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. -27 + 15x + 2x = 8 + -2x + 2x Combine like terms: 15x + 2x = 17x -27 + 17x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + 17x = 8 + 0 -27 + 17x = 8 Add '27' to each side of the equation. -27 + 27 + 17x = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 17x = 8 + 27 17x = 8 + 27 Combine like terms: 8 + 27 = 35 17x = 35 Divide each side by '17'. x = 2.058823529 Simplifying x = 2.058823529
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