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Simplifying 2(12x + -3) + -2x = 38 Reorder the terms: 2(-3 + 12x) + -2x = 38 (-3 * 2 + 12x * 2) + -2x = 38 (-6 + 24x) + -2x = 38 Combine like terms: 24x + -2x = 22x -6 + 22x = 38 Solving -6 + 22x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 22x = 38 + 6 Combine like terms: -6 + 6 = 0 0 + 22x = 38 + 6 22x = 38 + 6 Combine like terms: 38 + 6 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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