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Simplifying 2x + 2(x + 9) + 2x + 2(x + 9) = 76 Reorder the terms: 2x + 2(9 + x) + 2x + 2(x + 9) = 76 2x + (9 * 2 + x * 2) + 2x + 2(x + 9) = 76 2x + (18 + 2x) + 2x + 2(x + 9) = 76 Reorder the terms: 2x + 18 + 2x + 2x + 2(9 + x) = 76 2x + 18 + 2x + 2x + (9 * 2 + x * 2) = 76 2x + 18 + 2x + 2x + (18 + 2x) = 76 Reorder the terms: 18 + 18 + 2x + 2x + 2x + 2x = 76 Combine like terms: 18 + 18 = 36 36 + 2x + 2x + 2x + 2x = 76 Combine like terms: 2x + 2x = 4x 36 + 4x + 2x + 2x = 76 Combine like terms: 4x + 2x = 6x 36 + 6x + 2x = 76 Combine like terms: 6x + 2x = 8x 36 + 8x = 76 Solving 36 + 8x = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 8x = 76 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = 76 + -36 8x = 76 + -36 Combine like terms: 76 + -36 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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