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