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Simplifying 1 + 5x = 7(7 + 3x) 1 + 5x = (7 * 7 + 3x * 7) 1 + 5x = (49 + 21x) Solving 1 + 5x = 49 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 1 + 5x + -21x = 49 + 21x + -21x Combine like terms: 5x + -21x = -16x 1 + -16x = 49 + 21x + -21x Combine like terms: 21x + -21x = 0 1 + -16x = 49 + 0 1 + -16x = 49 Add '-1' to each side of the equation. 1 + -1 + -16x = 49 + -1 Combine like terms: 1 + -1 = 0 0 + -16x = 49 + -1 -16x = 49 + -1 Combine like terms: 49 + -1 = 48 -16x = 48 Divide each side by '-16'. x = -3 Simplifying x = -3
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