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Simplifying -7x + 24 = -5(4x + 3) Reorder the terms: 24 + -7x = -5(4x + 3) Reorder the terms: 24 + -7x = -5(3 + 4x) 24 + -7x = (3 * -5 + 4x * -5) 24 + -7x = (-15 + -20x) Solving 24 + -7x = -15 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 24 + -7x + 20x = -15 + -20x + 20x Combine like terms: -7x + 20x = 13x 24 + 13x = -15 + -20x + 20x Combine like terms: -20x + 20x = 0 24 + 13x = -15 + 0 24 + 13x = -15 Add '-24' to each side of the equation. 24 + -24 + 13x = -15 + -24 Combine like terms: 24 + -24 = 0 0 + 13x = -15 + -24 13x = -15 + -24 Combine like terms: -15 + -24 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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