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Simplifying 2(x + 9) + 6(x + 2) = 78 Reorder the terms: 2(9 + x) + 6(x + 2) = 78 (9 * 2 + x * 2) + 6(x + 2) = 78 (18 + 2x) + 6(x + 2) = 78 Reorder the terms: 18 + 2x + 6(2 + x) = 78 18 + 2x + (2 * 6 + x * 6) = 78 18 + 2x + (12 + 6x) = 78 Reorder the terms: 18 + 12 + 2x + 6x = 78 Combine like terms: 18 + 12 = 30 30 + 2x + 6x = 78 Combine like terms: 2x + 6x = 8x 30 + 8x = 78 Solving 30 + 8x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 8x = 78 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 78 + -30 8x = 78 + -30 Combine like terms: 78 + -30 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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