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Simplifying 5(2x + 8) = 5(x) + 10 Reorder the terms: 5(8 + 2x) = 5(x) + 10 (8 * 5 + 2x * 5) = 5(x) + 10 (40 + 10x) = 5(x) + 10 Reorder the terms: 40 + 10x = 10 + 5x Solving 40 + 10x = 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. 40 + 10x + -5x = 10 + 5x + -5x Combine like terms: 10x + -5x = 5x 40 + 5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 5x = 10 + 0 40 + 5x = 10 Add '-40' to each side of the equation. 40 + -40 + 5x = 10 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = 10 + -40 5x = 10 + -40 Combine like terms: 10 + -40 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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