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Simplifying -2(6x + -4) = 4(3x + 1) + 4 Reorder the terms: -2(-4 + 6x) = 4(3x + 1) + 4 (-4 * -2 + 6x * -2) = 4(3x + 1) + 4 (8 + -12x) = 4(3x + 1) + 4 Reorder the terms: 8 + -12x = 4(1 + 3x) + 4 8 + -12x = (1 * 4 + 3x * 4) + 4 8 + -12x = (4 + 12x) + 4 Reorder the terms: 8 + -12x = 4 + 4 + 12x Combine like terms: 4 + 4 = 8 8 + -12x = 8 + 12x Add '-8' to each side of the equation. 8 + -8 + -12x = 8 + -8 + 12x Combine like terms: 8 + -8 = 0 0 + -12x = 8 + -8 + 12x -12x = 8 + -8 + 12x Combine like terms: 8 + -8 = 0 -12x = 0 + 12x -12x = 12x Solving -12x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12x + -12x = 12x + -12x Combine like terms: -12x + -12x = -24x -24x = 12x + -12x Combine like terms: 12x + -12x = 0 -24x = 0 Divide each side by '-24'. x = 0 Simplifying x = 0
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