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Simplifying 1x = 7(x + 6) Reorder the terms: 1x = 7(6 + x) 1x = (6 * 7 + x * 7) 1x = (42 + 7x) Solving 1x = 42 + 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. 1x + -7x = 42 + 7x + -7x Combine like terms: 1x + -7x = -6x -6x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -6x = 42 + 0 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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