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Simplifying 2(2x + 40) = 5(x + 8) Reorder the terms: 2(40 + 2x) = 5(x + 8) (40 * 2 + 2x * 2) = 5(x + 8) (80 + 4x) = 5(x + 8) Reorder the terms: 80 + 4x = 5(8 + x) 80 + 4x = (8 * 5 + x * 5) 80 + 4x = (40 + 5x) Solving 80 + 4x = 40 + 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. 80 + 4x + -5x = 40 + 5x + -5x Combine like terms: 4x + -5x = -1x 80 + -1x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 80 + -1x = 40 + 0 80 + -1x = 40 Add '-80' to each side of the equation. 80 + -80 + -1x = 40 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 40 + -80 -1x = 40 + -80 Combine like terms: 40 + -80 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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