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Simplifying 12x + 4 = 3(2x + 1) + -1x + 9 Reorder the terms: 4 + 12x = 3(2x + 1) + -1x + 9 Reorder the terms: 4 + 12x = 3(1 + 2x) + -1x + 9 4 + 12x = (1 * 3 + 2x * 3) + -1x + 9 4 + 12x = (3 + 6x) + -1x + 9 Reorder the terms: 4 + 12x = 3 + 9 + 6x + -1x Combine like terms: 3 + 9 = 12 4 + 12x = 12 + 6x + -1x Combine like terms: 6x + -1x = 5x 4 + 12x = 12 + 5x Solving 4 + 12x = 12 + 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. 4 + 12x + -5x = 12 + 5x + -5x Combine like terms: 12x + -5x = 7x 4 + 7x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 7x = 12 + 0 4 + 7x = 12 Add '-4' to each side of the equation. 4 + -4 + 7x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 12 + -4 7x = 12 + -4 Combine like terms: 12 + -4 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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