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Simplifying 2x + -2 + -1(-3x) = 7x + -8 + 2x + -6 Remove parenthesis around (-3x) 2x + -2 + -1 * -3x = 7x + -8 + 2x + -6 Multiply -1 * -3 2x + -2 + 3x = 7x + -8 + 2x + -6 Reorder the terms: -2 + 2x + 3x = 7x + -8 + 2x + -6 Combine like terms: 2x + 3x = 5x -2 + 5x = 7x + -8 + 2x + -6 Reorder the terms: -2 + 5x = -8 + -6 + 7x + 2x Combine like terms: -8 + -6 = -14 -2 + 5x = -14 + 7x + 2x Combine like terms: 7x + 2x = 9x -2 + 5x = -14 + 9x Solving -2 + 5x = -14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 5x + -9x = -14 + 9x + -9x Combine like terms: 5x + -9x = -4x -2 + -4x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -4x = -14 + 0 -2 + -4x = -14 Add '2' to each side of the equation. -2 + 2 + -4x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -14 + 2 -4x = -14 + 2 Combine like terms: -14 + 2 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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