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Simplifying 2x + 3x + -12 = 10 + 12 + 4x Reorder the terms: -12 + 2x + 3x = 10 + 12 + 4x Combine like terms: 2x + 3x = 5x -12 + 5x = 10 + 12 + 4x Combine like terms: 10 + 12 = 22 -12 + 5x = 22 + 4x Solving -12 + 5x = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 5x + -4x = 22 + 4x + -4x Combine like terms: 5x + -4x = 1x -12 + 1x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 1x = 22 + 0 -12 + 1x = 22 Add '12' to each side of the equation. -12 + 12 + 1x = 22 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 22 + 12 1x = 22 + 12 Combine like terms: 22 + 12 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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