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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 = 35x 49 + 35x = 7 + -28x + 28x Combine like terms: -28x + 28x = 0 49 + 35x = 7 + 0 49 + 35x = 7 Add '-49' to each side of the equation. 49 + -49 + 35x = 7 + -49 Combine like terms: 49 + -49 = 0 0 + 35x = 7 + -49 35x = 7 + -49 Combine like terms: 7 + -49 = -42 35x = -42 Divide each side by '35'. x = -1.2 Simplifying x = -1.2
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