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Simplifying -5(x + 2) + -3(3x + -2) = 0 Reorder the terms: -5(2 + x) + -3(3x + -2) = 0 (2 * -5 + x * -5) + -3(3x + -2) = 0 (-10 + -5x) + -3(3x + -2) = 0 Reorder the terms: -10 + -5x + -3(-2 + 3x) = 0 -10 + -5x + (-2 * -3 + 3x * -3) = 0 -10 + -5x + (6 + -9x) = 0 Reorder the terms: -10 + 6 + -5x + -9x = 0 Combine like terms: -10 + 6 = -4 -4 + -5x + -9x = 0 Combine like terms: -5x + -9x = -14x -4 + -14x = 0 Solving -4 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -14x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = 0 + 4 -14x = 0 + 4 Combine like terms: 0 + 4 = 4 -14x = 4 Divide each side by '-14'. x = -0.2857142857 Simplifying x = -0.2857142857
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