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Simplifying 3(2x + -2) = -2(x + 8) + -12x Reorder the terms: 3(-2 + 2x) = -2(x + 8) + -12x (-2 * 3 + 2x * 3) = -2(x + 8) + -12x (-6 + 6x) = -2(x + 8) + -12x Reorder the terms: -6 + 6x = -2(8 + x) + -12x -6 + 6x = (8 * -2 + x * -2) + -12x -6 + 6x = (-16 + -2x) + -12x Combine like terms: -2x + -12x = -14x -6 + 6x = -16 + -14x Solving -6 + 6x = -16 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -6 + 6x + 14x = -16 + -14x + 14x Combine like terms: 6x + 14x = 20x -6 + 20x = -16 + -14x + 14x Combine like terms: -14x + 14x = 0 -6 + 20x = -16 + 0 -6 + 20x = -16 Add '6' to each side of the equation. -6 + 6 + 20x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 20x = -16 + 6 20x = -16 + 6 Combine like terms: -16 + 6 = -10 20x = -10 Divide each side by '20'. x = -0.5 Simplifying x = -0.5
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