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Simplifying -2(3x + -5) + (x + -3) = 3(2x + -1) Reorder the terms: -2(-5 + 3x) + (x + -3) = 3(2x + -1) (-5 * -2 + 3x * -2) + (x + -3) = 3(2x + -1) (10 + -6x) + (x + -3) = 3(2x + -1) Reorder the terms: 10 + -6x + (-3 + x) = 3(2x + -1) Remove parenthesis around (-3 + x) 10 + -6x + -3 + x = 3(2x + -1) Reorder the terms: 10 + -3 + -6x + x = 3(2x + -1) Combine like terms: 10 + -3 = 7 7 + -6x + x = 3(2x + -1) Combine like terms: -6x + x = -5x 7 + -5x = 3(2x + -1) Reorder the terms: 7 + -5x = 3(-1 + 2x) 7 + -5x = (-1 * 3 + 2x * 3) 7 + -5x = (-3 + 6x) Solving 7 + -5x = -3 + 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 + -5x + -6x = -3 + 6x + -6x Combine like terms: -5x + -6x = -11x 7 + -11x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -11x = -3 + 0 7 + -11x = -3 Add '-7' to each side of the equation. 7 + -7 + -11x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -11x = -3 + -7 -11x = -3 + -7 Combine like terms: -3 + -7 = -10 -11x = -10 Divide each side by '-11'. x = 0.9090909091 Simplifying x = 0.9090909091
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