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Simplifying 5(2x + 8) + -5x = 5(5x + 6) Reorder the terms: 5(8 + 2x) + -5x = 5(5x + 6) (8 * 5 + 2x * 5) + -5x = 5(5x + 6) (40 + 10x) + -5x = 5(5x + 6) Combine like terms: 10x + -5x = 5x 40 + 5x = 5(5x + 6) Reorder the terms: 40 + 5x = 5(6 + 5x) 40 + 5x = (6 * 5 + 5x * 5) 40 + 5x = (30 + 25x) Solving 40 + 5x = 30 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 40 + 5x + -25x = 30 + 25x + -25x Combine like terms: 5x + -25x = -20x 40 + -20x = 30 + 25x + -25x Combine like terms: 25x + -25x = 0 40 + -20x = 30 + 0 40 + -20x = 30 Add '-40' to each side of the equation. 40 + -40 + -20x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -20x = 30 + -40 -20x = 30 + -40 Combine like terms: 30 + -40 = -10 -20x = -10 Divide each side by '-20'. x = 0.5 Simplifying x = 0.5
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