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Simplifying 3(5x + -9) = 2(6 + -2x) + x Reorder the terms: 3(-9 + 5x) = 2(6 + -2x) + x (-9 * 3 + 5x * 3) = 2(6 + -2x) + x (-27 + 15x) = 2(6 + -2x) + x -27 + 15x = (6 * 2 + -2x * 2) + x -27 + 15x = (12 + -4x) + x Combine like terms: -4x + x = -3x -27 + 15x = 12 + -3x Solving -27 + 15x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -27 + 15x + 3x = 12 + -3x + 3x Combine like terms: 15x + 3x = 18x -27 + 18x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -27 + 18x = 12 + 0 -27 + 18x = 12 Add '27' to each side of the equation. -27 + 27 + 18x = 12 + 27 Combine like terms: -27 + 27 = 0 0 + 18x = 12 + 27 18x = 12 + 27 Combine like terms: 12 + 27 = 39 18x = 39 Divide each side by '18'. x = 2.166666667 Simplifying x = 2.166666667
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