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Simplifying 5(2x + 4) + -8x = 78 Reorder the terms: 5(4 + 2x) + -8x = 78 (4 * 5 + 2x * 5) + -8x = 78 (20 + 10x) + -8x = 78 Combine like terms: 10x + -8x = 2x 20 + 2x = 78 Solving 20 + 2x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2x = 78 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 78 + -20 2x = 78 + -20 Combine like terms: 78 + -20 = 58 2x = 58 Divide each side by '2'. x = 29 Simplifying x = 29
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