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Simplifying 5(2x + -4) + -3(7x + 4) = 24 Reorder the terms: 5(-4 + 2x) + -3(7x + 4) = 24 (-4 * 5 + 2x * 5) + -3(7x + 4) = 24 (-20 + 10x) + -3(7x + 4) = 24 Reorder the terms: -20 + 10x + -3(4 + 7x) = 24 -20 + 10x + (4 * -3 + 7x * -3) = 24 -20 + 10x + (-12 + -21x) = 24 Reorder the terms: -20 + -12 + 10x + -21x = 24 Combine like terms: -20 + -12 = -32 -32 + 10x + -21x = 24 Combine like terms: 10x + -21x = -11x -32 + -11x = 24 Solving -32 + -11x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -11x = 24 + 32 Combine like terms: -32 + 32 = 0 0 + -11x = 24 + 32 -11x = 24 + 32 Combine like terms: 24 + 32 = 56 -11x = 56 Divide each side by '-11'. x = -5.090909091 Simplifying x = -5.090909091
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