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Simplifying 7(2x + 4) + 2x + 6 + 8x + 6x + 26 = 180 Reorder the terms: 7(4 + 2x) + 2x + 6 + 8x + 6x + 26 = 180 (4 * 7 + 2x * 7) + 2x + 6 + 8x + 6x + 26 = 180 (28 + 14x) + 2x + 6 + 8x + 6x + 26 = 180 Reorder the terms: 28 + 6 + 26 + 14x + 2x + 8x + 6x = 180 Combine like terms: 28 + 6 = 34 34 + 26 + 14x + 2x + 8x + 6x = 180 Combine like terms: 34 + 26 = 60 60 + 14x + 2x + 8x + 6x = 180 Combine like terms: 14x + 2x = 16x 60 + 16x + 8x + 6x = 180 Combine like terms: 16x + 8x = 24x 60 + 24x + 6x = 180 Combine like terms: 24x + 6x = 30x 60 + 30x = 180 Solving 60 + 30x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 30x = 180 + -60 Combine like terms: 60 + -60 = 0 0 + 30x = 180 + -60 30x = 180 + -60 Combine like terms: 180 + -60 = 120 30x = 120 Divide each side by '30'. x = 4 Simplifying x = 4
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