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Simplifying 47 + 7x = 7(1 + 4x) 47 + 7x = (1 * 7 + 4x * 7) 47 + 7x = (7 + 28x) Solving 47 + 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. 47 + 7x + -28x = 7 + 28x + -28x Combine like terms: 7x + -28x = -21x 47 + -21x = 7 + 28x + -28x Combine like terms: 28x + -28x = 0 47 + -21x = 7 + 0 47 + -21x = 7 Add '-47' to each side of the equation. 47 + -47 + -21x = 7 + -47 Combine like terms: 47 + -47 = 0 0 + -21x = 7 + -47 -21x = 7 + -47 Combine like terms: 7 + -47 = -40 -21x = -40 Divide each side by '-21'. x = 1.904761905 Simplifying x = 1.904761905
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