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Simplifying -2(x + -3) = -4x + 3(3x + 2) Reorder the terms: -2(-3 + x) = -4x + 3(3x + 2) (-3 * -2 + x * -2) = -4x + 3(3x + 2) (6 + -2x) = -4x + 3(3x + 2) Reorder the terms: 6 + -2x = -4x + 3(2 + 3x) 6 + -2x = -4x + (2 * 3 + 3x * 3) 6 + -2x = -4x + (6 + 9x) Reorder the terms: 6 + -2x = 6 + -4x + 9x Combine like terms: -4x + 9x = 5x 6 + -2x = 6 + 5x Add '-6' to each side of the equation. 6 + -6 + -2x = 6 + -6 + 5x Combine like terms: 6 + -6 = 0 0 + -2x = 6 + -6 + 5x -2x = 6 + -6 + 5x Combine like terms: 6 + -6 = 0 -2x = 0 + 5x -2x = 5x Solving -2x = 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. -2x + -5x = 5x + -5x Combine like terms: -2x + -5x = -7x -7x = 5x + -5x Combine like terms: 5x + -5x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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