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Simplifying 5(4x + 11) + 3(2x + 4) = 34 Reorder the terms: 5(11 + 4x) + 3(2x + 4) = 34 (11 * 5 + 4x * 5) + 3(2x + 4) = 34 (55 + 20x) + 3(2x + 4) = 34 Reorder the terms: 55 + 20x + 3(4 + 2x) = 34 55 + 20x + (4 * 3 + 2x * 3) = 34 55 + 20x + (12 + 6x) = 34 Reorder the terms: 55 + 12 + 20x + 6x = 34 Combine like terms: 55 + 12 = 67 67 + 20x + 6x = 34 Combine like terms: 20x + 6x = 26x 67 + 26x = 34 Solving 67 + 26x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + 26x = 34 + -67 Combine like terms: 67 + -67 = 0 0 + 26x = 34 + -67 26x = 34 + -67 Combine like terms: 34 + -67 = -33 26x = -33 Divide each side by '26'. x = -1.269230769 Simplifying x = -1.269230769
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