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Simplifying 12x + 3 = 2(3x + 1) + -1x + 9 Reorder the terms: 3 + 12x = 2(3x + 1) + -1x + 9 Reorder the terms: 3 + 12x = 2(1 + 3x) + -1x + 9 3 + 12x = (1 * 2 + 3x * 2) + -1x + 9 3 + 12x = (2 + 6x) + -1x + 9 Reorder the terms: 3 + 12x = 2 + 9 + 6x + -1x Combine like terms: 2 + 9 = 11 3 + 12x = 11 + 6x + -1x Combine like terms: 6x + -1x = 5x 3 + 12x = 11 + 5x Solving 3 + 12x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 12x + -5x = 11 + 5x + -5x Combine like terms: 12x + -5x = 7x 3 + 7x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 7x = 11 + 0 3 + 7x = 11 Add '-3' to each side of the equation. 3 + -3 + 7x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 11 + -3 7x = 11 + -3 Combine like terms: 11 + -3 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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