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Simplifying -3(2 + -3x) = 6x + -2(x + -3) (2 * -3 + -3x * -3) = 6x + -2(x + -3) (-6 + 9x) = 6x + -2(x + -3) Reorder the terms: -6 + 9x = 6x + -2(-3 + x) -6 + 9x = 6x + (-3 * -2 + x * -2) -6 + 9x = 6x + (6 + -2x) Reorder the terms: -6 + 9x = 6 + 6x + -2x Combine like terms: 6x + -2x = 4x -6 + 9x = 6 + 4x Solving -6 + 9x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 9x + -4x = 6 + 4x + -4x Combine like terms: 9x + -4x = 5x -6 + 5x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 5x = 6 + 0 -6 + 5x = 6 Add '6' to each side of the equation. -6 + 6 + 5x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 6 + 6 5x = 6 + 6 Combine like terms: 6 + 6 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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