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Simplifying 2x + 3(10 + -2x) = 12 2x + (10 * 3 + -2x * 3) = 12 2x + (30 + -6x) = 12 Reorder the terms: 30 + 2x + -6x = 12 Combine like terms: 2x + -6x = -4x 30 + -4x = 12 Solving 30 + -4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -4x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 12 + -30 -4x = 12 + -30 Combine like terms: 12 + -30 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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