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Simplifying 3(3x + 4) = 5(-1x + 2) Reorder the terms: 3(4 + 3x) = 5(-1x + 2) (4 * 3 + 3x * 3) = 5(-1x + 2) (12 + 9x) = 5(-1x + 2) Reorder the terms: 12 + 9x = 5(2 + -1x) 12 + 9x = (2 * 5 + -1x * 5) 12 + 9x = (10 + -5x) Solving 12 + 9x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + 9x + 5x = 10 + -5x + 5x Combine like terms: 9x + 5x = 14x 12 + 14x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 14x = 10 + 0 12 + 14x = 10 Add '-12' to each side of the equation. 12 + -12 + 14x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 10 + -12 14x = 10 + -12 Combine like terms: 10 + -12 = -2 14x = -2 Divide each side by '14'. x = -0.1428571429 Simplifying x = -0.1428571429
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