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Simplifying 3x + -10 + x = 24 + -12 + 2x Reorder the terms: -10 + 3x + x = 24 + -12 + 2x Combine like terms: 3x + x = 4x -10 + 4x = 24 + -12 + 2x Combine like terms: 24 + -12 = 12 -10 + 4x = 12 + 2x Solving -10 + 4x = 12 + 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. -10 + 4x + -2x = 12 + 2x + -2x Combine like terms: 4x + -2x = 2x -10 + 2x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 2x = 12 + 0 -10 + 2x = 12 Add '10' to each side of the equation. -10 + 10 + 2x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 12 + 10 2x = 12 + 10 Combine like terms: 12 + 10 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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