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Simplifying 3x + 1 = 7(3 + -1x) Reorder the terms: 1 + 3x = 7(3 + -1x) 1 + 3x = (3 * 7 + -1x * 7) 1 + 3x = (21 + -7x) Solving 1 + 3x = 21 + -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. 1 + 3x + 7x = 21 + -7x + 7x Combine like terms: 3x + 7x = 10x 1 + 10x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 10x = 21 + 0 1 + 10x = 21 Add '-1' to each side of the equation. 1 + -1 + 10x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 21 + -1 10x = 21 + -1 Combine like terms: 21 + -1 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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