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Simplifying -1(2x + 2) + (x + -7) = x + 3 + -1(2 + -2x) Reorder the terms: -1(2 + 2x) + (x + -7) = x + 3 + -1(2 + -2x) (2 * -1 + 2x * -1) + (x + -7) = x + 3 + -1(2 + -2x) (-2 + -2x) + (x + -7) = x + 3 + -1(2 + -2x) Reorder the terms: -2 + -2x + (-7 + x) = x + 3 + -1(2 + -2x) Remove parenthesis around (-7 + x) -2 + -2x + -7 + x = x + 3 + -1(2 + -2x) Reorder the terms: -2 + -7 + -2x + x = x + 3 + -1(2 + -2x) Combine like terms: -2 + -7 = -9 -9 + -2x + x = x + 3 + -1(2 + -2x) Combine like terms: -2x + x = -1x -9 + -1x = x + 3 + -1(2 + -2x) -9 + -1x = x + 3 + (2 * -1 + -2x * -1) -9 + -1x = x + 3 + (-2 + 2x) Reorder the terms: -9 + -1x = 3 + -2 + x + 2x Combine like terms: 3 + -2 = 1 -9 + -1x = 1 + x + 2x Combine like terms: x + 2x = 3x -9 + -1x = 1 + 3x Solving -9 + -1x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + -1x + -3x = 1 + 3x + -3x Combine like terms: -1x + -3x = -4x -9 + -4x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -4x = 1 + 0 -9 + -4x = 1 Add '9' to each side of the equation. -9 + 9 + -4x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 1 + 9 -4x = 1 + 9 Combine like terms: 1 + 9 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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