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Simplifying 4(x + -2) = -4(3x + -2) Reorder the terms: 4(-2 + x) = -4(3x + -2) (-2 * 4 + x * 4) = -4(3x + -2) (-8 + 4x) = -4(3x + -2) Reorder the terms: -8 + 4x = -4(-2 + 3x) -8 + 4x = (-2 * -4 + 3x * -4) -8 + 4x = (8 + -12x) Solving -8 + 4x = 8 + -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. -8 + 4x + 12x = 8 + -12x + 12x Combine like terms: 4x + 12x = 16x -8 + 16x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 16x = 8 + 0 -8 + 16x = 8 Add '8' to each side of the equation. -8 + 8 + 16x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 8 + 8 16x = 8 + 8 Combine like terms: 8 + 8 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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