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