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Simplifying 5(x + -4) + -3(x + 2) = 33 Reorder the terms: 5(-4 + x) + -3(x + 2) = 33 (-4 * 5 + x * 5) + -3(x + 2) = 33 (-20 + 5x) + -3(x + 2) = 33 Reorder the terms: -20 + 5x + -3(2 + x) = 33 -20 + 5x + (2 * -3 + x * -3) = 33 -20 + 5x + (-6 + -3x) = 33 Reorder the terms: -20 + -6 + 5x + -3x = 33 Combine like terms: -20 + -6 = -26 -26 + 5x + -3x = 33 Combine like terms: 5x + -3x = 2x -26 + 2x = 33 Solving -26 + 2x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 2x = 33 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = 33 + 26 2x = 33 + 26 Combine like terms: 33 + 26 = 59 2x = 59 Divide each side by '2'. x = 29.5 Simplifying x = 29.5
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