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Simplifying 4(2x + 5) + -5(x + -2) = 20 + -2x Reorder the terms: 4(5 + 2x) + -5(x + -2) = 20 + -2x (5 * 4 + 2x * 4) + -5(x + -2) = 20 + -2x (20 + 8x) + -5(x + -2) = 20 + -2x Reorder the terms: 20 + 8x + -5(-2 + x) = 20 + -2x 20 + 8x + (-2 * -5 + x * -5) = 20 + -2x 20 + 8x + (10 + -5x) = 20 + -2x Reorder the terms: 20 + 10 + 8x + -5x = 20 + -2x Combine like terms: 20 + 10 = 30 30 + 8x + -5x = 20 + -2x Combine like terms: 8x + -5x = 3x 30 + 3x = 20 + -2x Solving 30 + 3x = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 30 + 3x + 2x = 20 + -2x + 2x Combine like terms: 3x + 2x = 5x 30 + 5x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 5x = 20 + 0 30 + 5x = 20 Add '-30' to each side of the equation. 30 + -30 + 5x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 20 + -30 5x = 20 + -30 Combine like terms: 20 + -30 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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