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Simplifying 4(5x + 3) = -5(x + -2) Reorder the terms: 4(3 + 5x) = -5(x + -2) (3 * 4 + 5x * 4) = -5(x + -2) (12 + 20x) = -5(x + -2) Reorder the terms: 12 + 20x = -5(-2 + x) 12 + 20x = (-2 * -5 + x * -5) 12 + 20x = (10 + -5x) Solving 12 + 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. 12 + 20x + 5x = 10 + -5x + 5x Combine like terms: 20x + 5x = 25x 12 + 25x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 25x = 10 + 0 12 + 25x = 10 Add '-12' to each side of the equation. 12 + -12 + 25x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 25x = 10 + -12 25x = 10 + -12 Combine like terms: 10 + -12 = -2 25x = -2 Divide each side by '25'. x = -0.08 Simplifying x = -0.08
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