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Simplifying 7x + 29 = 3x + 1 Reorder the terms: 29 + 7x = 3x + 1 Reorder the terms: 29 + 7x = 1 + 3x Solving 29 + 7x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 29 + 7x + -3x = 1 + 3x + -3x Combine like terms: 7x + -3x = 4x 29 + 4x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 29 + 4x = 1 + 0 29 + 4x = 1 Add '-29' to each side of the equation. 29 + -29 + 4x = 1 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = 1 + -29 4x = 1 + -29 Combine like terms: 1 + -29 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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