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