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Simplifying 3x + -12 + x + 2 = 5 + 3x + 2 Reorder the terms: -12 + 2 + 3x + x = 5 + 3x + 2 Combine like terms: -12 + 2 = -10 -10 + 3x + x = 5 + 3x + 2 Combine like terms: 3x + x = 4x -10 + 4x = 5 + 3x + 2 Reorder the terms: -10 + 4x = 5 + 2 + 3x Combine like terms: 5 + 2 = 7 -10 + 4x = 7 + 3x Solving -10 + 4x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 4x + -3x = 7 + 3x + -3x Combine like terms: 4x + -3x = 1x -10 + 1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 1x = 7 + 0 -10 + 1x = 7 Add '10' to each side of the equation. -10 + 10 + 1x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 7 + 10 1x = 7 + 10 Combine like terms: 7 + 10 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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