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