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Simplifying 6(x + 1) + -2(x + 4) = 0 Reorder the terms: 6(1 + x) + -2(x + 4) = 0 (1 * 6 + x * 6) + -2(x + 4) = 0 (6 + 6x) + -2(x + 4) = 0 Reorder the terms: 6 + 6x + -2(4 + x) = 0 6 + 6x + (4 * -2 + x * -2) = 0 6 + 6x + (-8 + -2x) = 0 Reorder the terms: 6 + -8 + 6x + -2x = 0 Combine like terms: 6 + -8 = -2 -2 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x -2 + 4x = 0 Solving -2 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 0 + 2 4x = 0 + 2 Combine like terms: 0 + 2 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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