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Simplifying 4(x + 5) + 3(x + 5) = 26 Reorder the terms: 4(5 + x) + 3(x + 5) = 26 (5 * 4 + x * 4) + 3(x + 5) = 26 (20 + 4x) + 3(x + 5) = 26 Reorder the terms: 20 + 4x + 3(5 + x) = 26 20 + 4x + (5 * 3 + x * 3) = 26 20 + 4x + (15 + 3x) = 26 Reorder the terms: 20 + 15 + 4x + 3x = 26 Combine like terms: 20 + 15 = 35 35 + 4x + 3x = 26 Combine like terms: 4x + 3x = 7x 35 + 7x = 26 Solving 35 + 7x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 7x = 26 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 26 + -35 7x = 26 + -35 Combine like terms: 26 + -35 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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