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Simplifying 8(x + 1) + 2x = 78 Reorder the terms: 8(1 + x) + 2x = 78 (1 * 8 + x * 8) + 2x = 78 (8 + 8x) + 2x = 78 Combine like terms: 8x + 2x = 10x 8 + 10x = 78 Solving 8 + 10x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 10x = 78 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 78 + -8 10x = 78 + -8 Combine like terms: 78 + -8 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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