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Simplifying 3(3x + -2) = 5(4 + -1x) Reorder the terms: 3(-2 + 3x) = 5(4 + -1x) (-2 * 3 + 3x * 3) = 5(4 + -1x) (-6 + 9x) = 5(4 + -1x) -6 + 9x = (4 * 5 + -1x * 5) -6 + 9x = (20 + -5x) Solving -6 + 9x = 20 + -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. -6 + 9x + 5x = 20 + -5x + 5x Combine like terms: 9x + 5x = 14x -6 + 14x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 14x = 20 + 0 -6 + 14x = 20 Add '6' to each side of the equation. -6 + 6 + 14x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 20 + 6 14x = 20 + 6 Combine like terms: 20 + 6 = 26 14x = 26 Divide each side by '14'. x = 1.857142857 Simplifying x = 1.857142857
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