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Simplifying 7(5x + 1) = 2x + -9x Reorder the terms: 7(1 + 5x) = 2x + -9x (1 * 7 + 5x * 7) = 2x + -9x (7 + 35x) = 2x + -9x Combine like terms: 2x + -9x = -7x 7 + 35x = -7x Solving 7 + 35x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7 + 35x + 7x = -7x + 7x Combine like terms: 35x + 7x = 42x 7 + 42x = -7x + 7x Combine like terms: -7x + 7x = 0 7 + 42x = 0 Add '-7' to each side of the equation. 7 + -7 + 42x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 42x = 0 + -7 42x = 0 + -7 Combine like terms: 0 + -7 = -7 42x = -7 Divide each side by '42'. x = -0.1666666667 Simplifying x = -0.1666666667
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