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Simplifying 5(x + -6) + 3(2 + -1x) = 0 Reorder the terms: 5(-6 + x) + 3(2 + -1x) = 0 (-6 * 5 + x * 5) + 3(2 + -1x) = 0 (-30 + 5x) + 3(2 + -1x) = 0 -30 + 5x + (2 * 3 + -1x * 3) = 0 -30 + 5x + (6 + -3x) = 0 Reorder the terms: -30 + 6 + 5x + -3x = 0 Combine like terms: -30 + 6 = -24 -24 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -24 + 2x = 0 Solving -24 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 2x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 0 + 24 2x = 0 + 24 Combine like terms: 0 + 24 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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