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