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Simplifying -2(2x + -7) + -1(x + -3) = 6(x + -1) Reorder the terms: -2(-7 + 2x) + -1(x + -3) = 6(x + -1) (-7 * -2 + 2x * -2) + -1(x + -3) = 6(x + -1) (14 + -4x) + -1(x + -3) = 6(x + -1) Reorder the terms: 14 + -4x + -1(-3 + x) = 6(x + -1) 14 + -4x + (-3 * -1 + x * -1) = 6(x + -1) 14 + -4x + (3 + -1x) = 6(x + -1) Reorder the terms: 14 + 3 + -4x + -1x = 6(x + -1) Combine like terms: 14 + 3 = 17 17 + -4x + -1x = 6(x + -1) Combine like terms: -4x + -1x = -5x 17 + -5x = 6(x + -1) Reorder the terms: 17 + -5x = 6(-1 + x) 17 + -5x = (-1 * 6 + x * 6) 17 + -5x = (-6 + 6x) Solving 17 + -5x = -6 + 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. 17 + -5x + -6x = -6 + 6x + -6x Combine like terms: -5x + -6x = -11x 17 + -11x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -11x = -6 + 0 17 + -11x = -6 Add '-17' to each side of the equation. 17 + -17 + -11x = -6 + -17 Combine like terms: 17 + -17 = 0 0 + -11x = -6 + -17 -11x = -6 + -17 Combine like terms: -6 + -17 = -23 -11x = -23 Divide each side by '-11'. x = 2.090909091 Simplifying x = 2.090909091
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