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Simplifying x + -7(x + 1) = -2 + -2x Reorder the terms: x + -7(1 + x) = -2 + -2x x + (1 * -7 + x * -7) = -2 + -2x x + (-7 + -7x) = -2 + -2x Reorder the terms: -7 + x + -7x = -2 + -2x Combine like terms: x + -7x = -6x -7 + -6x = -2 + -2x Solving -7 + -6x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + -6x + 2x = -2 + -2x + 2x Combine like terms: -6x + 2x = -4x -7 + -4x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + -4x = -2 + 0 -7 + -4x = -2 Add '7' to each side of the equation. -7 + 7 + -4x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -2 + 7 -4x = -2 + 7 Combine like terms: -2 + 7 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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