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Simplifying 2(3x + -4) + 3(x + -5) = 0 Reorder the terms: 2(-4 + 3x) + 3(x + -5) = 0 (-4 * 2 + 3x * 2) + 3(x + -5) = 0 (-8 + 6x) + 3(x + -5) = 0 Reorder the terms: -8 + 6x + 3(-5 + x) = 0 -8 + 6x + (-5 * 3 + x * 3) = 0 -8 + 6x + (-15 + 3x) = 0 Reorder the terms: -8 + -15 + 6x + 3x = 0 Combine like terms: -8 + -15 = -23 -23 + 6x + 3x = 0 Combine like terms: 6x + 3x = 9x -23 + 9x = 0 Solving -23 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 9x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 9x = 0 + 23 9x = 0 + 23 Combine like terms: 0 + 23 = 23 9x = 23 Divide each side by '9'. x = 2.555555556 Simplifying x = 2.555555556
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