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Simplifying 2(2x + 1) + 2(3x + 3) = 78 Reorder the terms: 2(1 + 2x) + 2(3x + 3) = 78 (1 * 2 + 2x * 2) + 2(3x + 3) = 78 (2 + 4x) + 2(3x + 3) = 78 Reorder the terms: 2 + 4x + 2(3 + 3x) = 78 2 + 4x + (3 * 2 + 3x * 2) = 78 2 + 4x + (6 + 6x) = 78 Reorder the terms: 2 + 6 + 4x + 6x = 78 Combine like terms: 2 + 6 = 8 8 + 4x + 6x = 78 Combine like terms: 4x + 6x = 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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