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Simplifying 78 = 5(2x + 4) + -8x Reorder the terms: 78 = 5(4 + 2x) + -8x 78 = (4 * 5 + 2x * 5) + -8x 78 = (20 + 10x) + -8x Combine like terms: 10x + -8x = 2x 78 = 20 + 2x Solving 78 = 20 + 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. 78 + -2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 78 + -2x = 20 + 0 78 + -2x = 20 Add '-78' to each side of the equation. 78 + -78 + -2x = 20 + -78 Combine like terms: 78 + -78 = 0 0 + -2x = 20 + -78 -2x = 20 + -78 Combine like terms: 20 + -78 = -58 -2x = -58 Divide each side by '-2'. x = 29 Simplifying x = 29
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