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Simplifying 2(4x + 20) + -8x = -5(4x + 4) + 20 Reorder the terms: 2(20 + 4x) + -8x = -5(4x + 4) + 20 (20 * 2 + 4x * 2) + -8x = -5(4x + 4) + 20 (40 + 8x) + -8x = -5(4x + 4) + 20 Combine like terms: 8x + -8x = 0 40 + 0 = -5(4x + 4) + 20 40 = -5(4x + 4) + 20 Reorder the terms: 40 = -5(4 + 4x) + 20 40 = (4 * -5 + 4x * -5) + 20 40 = (-20 + -20x) + 20 Reorder the terms: 40 = -20 + 20 + -20x Combine like terms: -20 + 20 = 0 40 = 0 + -20x 40 = -20x Solving 40 = -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. 40 + 20x = -20x + 20x Combine like terms: -20x + 20x = 0 40 + 20x = 0 Add '-40' to each side of the equation. 40 + -40 + 20x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 20x = 0 + -40 20x = 0 + -40 Combine like terms: 0 + -40 = -40 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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