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Simplifying 3x + 7(-1 + 6x) = -7 + -7x 3x + (-1 * 7 + 6x * 7) = -7 + -7x 3x + (-7 + 42x) = -7 + -7x Reorder the terms: -7 + 3x + 42x = -7 + -7x Combine like terms: 3x + 42x = 45x -7 + 45x = -7 + -7x Add '7' to each side of the equation. -7 + 7 + 45x = -7 + 7 + -7x Combine like terms: -7 + 7 = 0 0 + 45x = -7 + 7 + -7x 45x = -7 + 7 + -7x Combine like terms: -7 + 7 = 0 45x = 0 + -7x 45x = -7x Solving 45x = -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. 45x + 7x = -7x + 7x Combine like terms: 45x + 7x = 52x 52x = -7x + 7x Combine like terms: -7x + 7x = 0 52x = 0 Divide each side by '52'. x = 0 Simplifying x = 0
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