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Simplifying 7x + 2 = 3(2x + 1) + -1x + 6 Reorder the terms: 2 + 7x = 3(2x + 1) + -1x + 6 Reorder the terms: 2 + 7x = 3(1 + 2x) + -1x + 6 2 + 7x = (1 * 3 + 2x * 3) + -1x + 6 2 + 7x = (3 + 6x) + -1x + 6 Reorder the terms: 2 + 7x = 3 + 6 + 6x + -1x Combine like terms: 3 + 6 = 9 2 + 7x = 9 + 6x + -1x Combine like terms: 6x + -1x = 5x 2 + 7x = 9 + 5x Solving 2 + 7x = 9 + 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. 2 + 7x + -5x = 9 + 5x + -5x Combine like terms: 7x + -5x = 2x 2 + 2x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 2x = 9 + 0 2 + 2x = 9 Add '-2' to each side of the equation. 2 + -2 + 2x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 9 + -2 2x = 9 + -2 Combine like terms: 9 + -2 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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