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Simplifying 5(2x + 8) = 120 + 2x Reorder the terms: 5(8 + 2x) = 120 + 2x (8 * 5 + 2x * 5) = 120 + 2x (40 + 10x) = 120 + 2x Solving 40 + 10x = 120 + 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. 40 + 10x + -2x = 120 + 2x + -2x Combine like terms: 10x + -2x = 8x 40 + 8x = 120 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 8x = 120 + 0 40 + 8x = 120 Add '-40' to each side of the equation. 40 + -40 + 8x = 120 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 120 + -40 8x = 120 + -40 Combine like terms: 120 + -40 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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