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Simplifying 3x + -12 = 2x + 10 Reorder the terms: -12 + 3x = 2x + 10 Reorder the terms: -12 + 3x = 10 + 2x Solving -12 + 3x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x -12 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 1x = 10 + 0 -12 + 1x = 10 Add '12' to each side of the equation. -12 + 12 + 1x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 10 + 12 1x = 10 + 12 Combine like terms: 10 + 12 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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