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Simplifying 7 + 7x = 7(7x + 5) Reorder the terms: 7 + 7x = 7(5 + 7x) 7 + 7x = (5 * 7 + 7x * 7) 7 + 7x = (35 + 49x) Solving 7 + 7x = 35 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 7 + 7x + -49x = 35 + 49x + -49x Combine like terms: 7x + -49x = -42x 7 + -42x = 35 + 49x + -49x Combine like terms: 49x + -49x = 0 7 + -42x = 35 + 0 7 + -42x = 35 Add '-7' to each side of the equation. 7 + -7 + -42x = 35 + -7 Combine like terms: 7 + -7 = 0 0 + -42x = 35 + -7 -42x = 35 + -7 Combine like terms: 35 + -7 = 28 -42x = 28 Divide each side by '-42'. x = -0.6666666667 Simplifying x = -0.6666666667
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