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Simplifying 49 = 7(1 + -5x) + -7x 49 = (1 * 7 + -5x * 7) + -7x 49 = (7 + -35x) + -7x Combine like terms: -35x + -7x = -42x 49 = 7 + -42x Solving 49 = 7 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 49 + 42x = 7 + -42x + 42x Combine like terms: -42x + 42x = 0 49 + 42x = 7 + 0 49 + 42x = 7 Add '-49' to each side of the equation. 49 + -49 + 42x = 7 + -49 Combine like terms: 49 + -49 = 0 0 + 42x = 7 + -49 42x = 7 + -49 Combine like terms: 7 + -49 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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