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Simplifying 12x + 10 = 7x + 9 + 4x + 13 Reorder the terms: 10 + 12x = 7x + 9 + 4x + 13 Reorder the terms: 10 + 12x = 9 + 13 + 7x + 4x Combine like terms: 9 + 13 = 22 10 + 12x = 22 + 7x + 4x Combine like terms: 7x + 4x = 11x 10 + 12x = 22 + 11x Solving 10 + 12x = 22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 10 + 12x + -11x = 22 + 11x + -11x Combine like terms: 12x + -11x = 1x 10 + 1x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 10 + 1x = 22 + 0 10 + 1x = 22 Add '-10' to each side of the equation. 10 + -10 + 1x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 22 + -10 1x = 22 + -10 Combine like terms: 22 + -10 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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