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Simplifying 4(x + 1) + 2(x + 6) = 0 Reorder the terms: 4(1 + x) + 2(x + 6) = 0 (1 * 4 + x * 4) + 2(x + 6) = 0 (4 + 4x) + 2(x + 6) = 0 Reorder the terms: 4 + 4x + 2(6 + x) = 0 4 + 4x + (6 * 2 + x * 2) = 0 4 + 4x + (12 + 2x) = 0 Reorder the terms: 4 + 12 + 4x + 2x = 0 Combine like terms: 4 + 12 = 16 16 + 4x + 2x = 0 Combine like terms: 4x + 2x = 6x 16 + 6x = 0 Solving 16 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 6x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 0 + -16 6x = 0 + -16 Combine like terms: 0 + -16 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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