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Simplifying 4(x + 2) + 2(x + 3) = 26 Reorder the terms: 4(2 + x) + 2(x + 3) = 26 (2 * 4 + x * 4) + 2(x + 3) = 26 (8 + 4x) + 2(x + 3) = 26 Reorder the terms: 8 + 4x + 2(3 + x) = 26 8 + 4x + (3 * 2 + x * 2) = 26 8 + 4x + (6 + 2x) = 26 Reorder the terms: 8 + 6 + 4x + 2x = 26 Combine like terms: 8 + 6 = 14 14 + 4x + 2x = 26 Combine like terms: 4x + 2x = 6x 14 + 6x = 26 Solving 14 + 6x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6x = 26 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 26 + -14 6x = 26 + -14 Combine like terms: 26 + -14 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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