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Simplifying 4(x + 1) + 2(x + 5) = 8 Reorder the terms: 4(1 + x) + 2(x + 5) = 8 (1 * 4 + x * 4) + 2(x + 5) = 8 (4 + 4x) + 2(x + 5) = 8 Reorder the terms: 4 + 4x + 2(5 + x) = 8 4 + 4x + (5 * 2 + x * 2) = 8 4 + 4x + (10 + 2x) = 8 Reorder the terms: 4 + 10 + 4x + 2x = 8 Combine like terms: 4 + 10 = 14 14 + 4x + 2x = 8 Combine like terms: 4x + 2x = 6x 14 + 6x = 8 Solving 14 + 6x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 8 + -14 6x = 8 + -14 Combine like terms: 8 + -14 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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