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Simplifying -4(3x + -2) + 2 = 12x + 10 Reorder the terms: -4(-2 + 3x) + 2 = 12x + 10 (-2 * -4 + 3x * -4) + 2 = 12x + 10 (8 + -12x) + 2 = 12x + 10 Reorder the terms: 8 + 2 + -12x = 12x + 10 Combine like terms: 8 + 2 = 10 10 + -12x = 12x + 10 Reorder the terms: 10 + -12x = 10 + 12x Add '-10' to each side of the equation. 10 + -10 + -12x = 10 + -10 + 12x Combine like terms: 10 + -10 = 0 0 + -12x = 10 + -10 + 12x -12x = 10 + -10 + 12x Combine like terms: 10 + -10 = 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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