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Simplifying 3(5x + -9) + -3x = 8 + -2x Reorder the terms: 3(-9 + 5x) + -3x = 8 + -2x (-9 * 3 + 5x * 3) + -3x = 8 + -2x (-27 + 15x) + -3x = 8 + -2x Combine like terms: 15x + -3x = 12x -27 + 12x = 8 + -2x Solving -27 + 12x = 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 + 12x + 2x = 8 + -2x + 2x Combine like terms: 12x + 2x = 14x -27 + 14x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + 14x = 8 + 0 -27 + 14x = 8 Add '27' to each side of the equation. -27 + 27 + 14x = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 14x = 8 + 27 14x = 8 + 27 Combine like terms: 8 + 27 = 35 14x = 35 Divide each side by '14'. x = 2.5 Simplifying x = 2.5
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