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Simplifying 2(3x + -2) + -5(3x + 2) = 0 Reorder the terms: 2(-2 + 3x) + -5(3x + 2) = 0 (-2 * 2 + 3x * 2) + -5(3x + 2) = 0 (-4 + 6x) + -5(3x + 2) = 0 Reorder the terms: -4 + 6x + -5(2 + 3x) = 0 -4 + 6x + (2 * -5 + 3x * -5) = 0 -4 + 6x + (-10 + -15x) = 0 Reorder the terms: -4 + -10 + 6x + -15x = 0 Combine like terms: -4 + -10 = -14 -14 + 6x + -15x = 0 Combine like terms: 6x + -15x = -9x -14 + -9x = 0 Solving -14 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -9x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -9x = 0 + 14 -9x = 0 + 14 Combine like terms: 0 + 14 = 14 -9x = 14 Divide each side by '-9'. x = -1.555555556 Simplifying x = -1.555555556
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