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Simplifying 4(5x + -7) + -6(3 + -2x) = 50 Reorder the terms: 4(-7 + 5x) + -6(3 + -2x) = 50 (-7 * 4 + 5x * 4) + -6(3 + -2x) = 50 (-28 + 20x) + -6(3 + -2x) = 50 -28 + 20x + (3 * -6 + -2x * -6) = 50 -28 + 20x + (-18 + 12x) = 50 Reorder the terms: -28 + -18 + 20x + 12x = 50 Combine like terms: -28 + -18 = -46 -46 + 20x + 12x = 50 Combine like terms: 20x + 12x = 32x -46 + 32x = 50 Solving -46 + 32x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 32x = 50 + 46 Combine like terms: -46 + 46 = 0 0 + 32x = 50 + 46 32x = 50 + 46 Combine like terms: 50 + 46 = 96 32x = 96 Divide each side by '32'. x = 3 Simplifying x = 3
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