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Simplifying 2(3x + -5) = 12x + 2 Reorder the terms: 2(-5 + 3x) = 12x + 2 (-5 * 2 + 3x * 2) = 12x + 2 (-10 + 6x) = 12x + 2 Reorder the terms: -10 + 6x = 2 + 12x Solving -10 + 6x = 2 + 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. -10 + 6x + -12x = 2 + 12x + -12x Combine like terms: 6x + -12x = -6x -10 + -6x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -6x = 2 + 0 -10 + -6x = 2 Add '10' to each side of the equation. -10 + 10 + -6x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 2 + 10 -6x = 2 + 10 Combine like terms: 2 + 10 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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