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Simplifying 5(3x + -2) + -2(3x + 2) = 0 Reorder the terms: 5(-2 + 3x) + -2(3x + 2) = 0 (-2 * 5 + 3x * 5) + -2(3x + 2) = 0 (-10 + 15x) + -2(3x + 2) = 0 Reorder the terms: -10 + 15x + -2(2 + 3x) = 0 -10 + 15x + (2 * -2 + 3x * -2) = 0 -10 + 15x + (-4 + -6x) = 0 Reorder the terms: -10 + -4 + 15x + -6x = 0 Combine like terms: -10 + -4 = -14 -14 + 15x + -6x = 0 Combine like terms: 15x + -6x = 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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