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Simplifying 12x + -3(2x + -4) = 5x + 2 Reorder the terms: 12x + -3(-4 + 2x) = 5x + 2 12x + (-4 * -3 + 2x * -3) = 5x + 2 12x + (12 + -6x) = 5x + 2 Reorder the terms: 12 + 12x + -6x = 5x + 2 Combine like terms: 12x + -6x = 6x 12 + 6x = 5x + 2 Reorder the terms: 12 + 6x = 2 + 5x Solving 12 + 6x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 6x + -5x = 2 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = 2 + 0 12 + 1x = 2 Add '-12' to each side of the equation. 12 + -12 + 1x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 2 + -12 1x = 2 + -12 Combine like terms: 2 + -12 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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