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Simplifying 49 + 7x = 7(1 + 4x) 49 + 7x = (1 * 7 + 4x * 7) 49 + 7x = (7 + 28x) Solving 49 + 7x = 7 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 49 + 7x + -28x = 7 + 28x + -28x Combine like terms: 7x + -28x = -21x 49 + -21x = 7 + 28x + -28x Combine like terms: 28x + -28x = 0 49 + -21x = 7 + 0 49 + -21x = 7 Add '-49' to each side of the equation. 49 + -49 + -21x = 7 + -49 Combine like terms: 49 + -49 = 0 0 + -21x = 7 + -49 -21x = 7 + -49 Combine like terms: 7 + -49 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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