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Simplifying 3(x + 5) + 4(x + 5) = 21 Reorder the terms: 3(5 + x) + 4(x + 5) = 21 (5 * 3 + x * 3) + 4(x + 5) = 21 (15 + 3x) + 4(x + 5) = 21 Reorder the terms: 15 + 3x + 4(5 + x) = 21 15 + 3x + (5 * 4 + x * 4) = 21 15 + 3x + (20 + 4x) = 21 Reorder the terms: 15 + 20 + 3x + 4x = 21 Combine like terms: 15 + 20 = 35 35 + 3x + 4x = 21 Combine like terms: 3x + 4x = 7x 35 + 7x = 21 Solving 35 + 7x = 21 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 = 21 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 21 + -35 7x = 21 + -35 Combine like terms: 21 + -35 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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