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Simplifying 3x + 1 = 7(x + 2) Reorder the terms: 1 + 3x = 7(x + 2) Reorder the terms: 1 + 3x = 7(2 + x) 1 + 3x = (2 * 7 + x * 7) 1 + 3x = (14 + 7x) Solving 1 + 3x = 14 + 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 = 14 + 7x + -7x Combine like terms: 3x + -7x = -4x 1 + -4x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -4x = 14 + 0 1 + -4x = 14 Add '-1' to each side of the equation. 1 + -1 + -4x = 14 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 14 + -1 -4x = 14 + -1 Combine like terms: 14 + -1 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25
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