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