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Simplifying 12x + 10 = 5x + 13 + 6x + 6 Reorder the terms: 10 + 12x = 5x + 13 + 6x + 6 Reorder the terms: 10 + 12x = 13 + 6 + 5x + 6x Combine like terms: 13 + 6 = 19 10 + 12x = 19 + 5x + 6x Combine like terms: 5x + 6x = 11x 10 + 12x = 19 + 11x Solving 10 + 12x = 19 + 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 = 19 + 11x + -11x Combine like terms: 12x + -11x = 1x 10 + 1x = 19 + 11x + -11x Combine like terms: 11x + -11x = 0 10 + 1x = 19 + 0 10 + 1x = 19 Add '-10' to each side of the equation. 10 + -10 + 1x = 19 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 19 + -10 1x = 19 + -10 Combine like terms: 19 + -10 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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