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Simplifying 12x + 7 = 6x + 8 + 5x + 11 Reorder the terms: 7 + 12x = 6x + 8 + 5x + 11 Reorder the terms: 7 + 12x = 8 + 11 + 6x + 5x Combine like terms: 8 + 11 = 19 7 + 12x = 19 + 6x + 5x Combine like terms: 6x + 5x = 11x 7 + 12x = 19 + 11x Solving 7 + 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. 7 + 12x + -11x = 19 + 11x + -11x Combine like terms: 12x + -11x = 1x 7 + 1x = 19 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + 1x = 19 + 0 7 + 1x = 19 Add '-7' to each side of the equation. 7 + -7 + 1x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 19 + -7 1x = 19 + -7 Combine like terms: 19 + -7 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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