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Simplifying 2(2x + -3) = 4x + -3(3x + -1) Reorder the terms: 2(-3 + 2x) = 4x + -3(3x + -1) (-3 * 2 + 2x * 2) = 4x + -3(3x + -1) (-6 + 4x) = 4x + -3(3x + -1) Reorder the terms: -6 + 4x = 4x + -3(-1 + 3x) -6 + 4x = 4x + (-1 * -3 + 3x * -3) -6 + 4x = 4x + (3 + -9x) Reorder the terms: -6 + 4x = 3 + 4x + -9x Combine like terms: 4x + -9x = -5x -6 + 4x = 3 + -5x Solving -6 + 4x = 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. -6 + 4x + 5x = 3 + -5x + 5x Combine like terms: 4x + 5x = 9x -6 + 9x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 9x = 3 + 0 -6 + 9x = 3 Add '6' to each side of the equation. -6 + 6 + 9x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 3 + 6 9x = 3 + 6 Combine like terms: 3 + 6 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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