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Simplifying -2(-3x + 1) = 5(x + -3) Reorder the terms: -2(1 + -3x) = 5(x + -3) (1 * -2 + -3x * -2) = 5(x + -3) (-2 + 6x) = 5(x + -3) Reorder the terms: -2 + 6x = 5(-3 + x) -2 + 6x = (-3 * 5 + x * 5) -2 + 6x = (-15 + 5x) Solving -2 + 6x = -15 + 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 = -15 + 5x + -5x Combine like terms: 6x + -5x = 1x -2 + 1x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 1x = -15 + 0 -2 + 1x = -15 Add '2' to each side of the equation. -2 + 2 + 1x = -15 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -15 + 2 1x = -15 + 2 Combine like terms: -15 + 2 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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