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Simplifying 5(4x + 3) = -10 + -5x Reorder the terms: 5(3 + 4x) = -10 + -5x (3 * 5 + 4x * 5) = -10 + -5x (15 + 20x) = -10 + -5x Solving 15 + 20x = -10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 15 + 20x + 5x = -10 + -5x + 5x Combine like terms: 20x + 5x = 25x 15 + 25x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 25x = -10 + 0 15 + 25x = -10 Add '-15' to each side of the equation. 15 + -15 + 25x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + 25x = -10 + -15 25x = -10 + -15 Combine like terms: -10 + -15 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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