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Simplifying 4(x + 2) + -4(6x + 12) = 0 Reorder the terms: 4(2 + x) + -4(6x + 12) = 0 (2 * 4 + x * 4) + -4(6x + 12) = 0 (8 + 4x) + -4(6x + 12) = 0 Reorder the terms: 8 + 4x + -4(12 + 6x) = 0 8 + 4x + (12 * -4 + 6x * -4) = 0 8 + 4x + (-48 + -24x) = 0 Reorder the terms: 8 + -48 + 4x + -24x = 0 Combine like terms: 8 + -48 = -40 -40 + 4x + -24x = 0 Combine like terms: 4x + -24x = -20x -40 + -20x = 0 Solving -40 + -20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -20x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -20x = 0 + 40 -20x = 0 + 40 Combine like terms: 0 + 40 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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