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Simplifying 4(x + 6) + 2(x + 5) = 40 Reorder the terms: 4(6 + x) + 2(x + 5) = 40 (6 * 4 + x * 4) + 2(x + 5) = 40 (24 + 4x) + 2(x + 5) = 40 Reorder the terms: 24 + 4x + 2(5 + x) = 40 24 + 4x + (5 * 2 + x * 2) = 40 24 + 4x + (10 + 2x) = 40 Reorder the terms: 24 + 10 + 4x + 2x = 40 Combine like terms: 24 + 10 = 34 34 + 4x + 2x = 40 Combine like terms: 4x + 2x = 6x 34 + 6x = 40 Solving 34 + 6x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 6x = 40 + -34 Combine like terms: 34 + -34 = 0 0 + 6x = 40 + -34 6x = 40 + -34 Combine like terms: 40 + -34 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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