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Simplifying (3x + -2) * 2 = 5 + -12x Reorder the terms: (-2 + 3x) * 2 = 5 + -12x Reorder the terms for easier multiplication: 2(-2 + 3x) = 5 + -12x (-2 * 2 + 3x * 2) = 5 + -12x (-4 + 6x) = 5 + -12x Solving -4 + 6x = 5 + -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. -4 + 6x + 12x = 5 + -12x + 12x Combine like terms: 6x + 12x = 18x -4 + 18x = 5 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + 18x = 5 + 0 -4 + 18x = 5 Add '4' to each side of the equation. -4 + 4 + 18x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = 5 + 4 18x = 5 + 4 Combine like terms: 5 + 4 = 9 18x = 9 Divide each side by '18'. x = 0.5 Simplifying x = 0.5
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