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Simplifying -7(1 + x) = -6x + 1 (1 * -7 + x * -7) = -6x + 1 (-7 + -7x) = -6x + 1 Reorder the terms: -7 + -7x = 1 + -6x Solving -7 + -7x = 1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + -7x + 6x = 1 + -6x + 6x Combine like terms: -7x + 6x = -1x -7 + -1x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + -1x = 1 + 0 -7 + -1x = 1 Add '7' to each side of the equation. -7 + 7 + -1x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 1 + 7 -1x = 1 + 7 Combine like terms: 1 + 7 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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