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Simplifying 2(4x + 6) + -4(x + 1) = 0 Reorder the terms: 2(6 + 4x) + -4(x + 1) = 0 (6 * 2 + 4x * 2) + -4(x + 1) = 0 (12 + 8x) + -4(x + 1) = 0 Reorder the terms: 12 + 8x + -4(1 + x) = 0 12 + 8x + (1 * -4 + x * -4) = 0 12 + 8x + (-4 + -4x) = 0 Reorder the terms: 12 + -4 + 8x + -4x = 0 Combine like terms: 12 + -4 = 8 8 + 8x + -4x = 0 Combine like terms: 8x + -4x = 4x 8 + 4x = 0 Solving 8 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 0 + -8 4x = 0 + -8 Combine like terms: 0 + -8 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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