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Simplifying 2(2x + -3) = 5x + -3(3x + -4) Reorder the terms: 2(-3 + 2x) = 5x + -3(3x + -4) (-3 * 2 + 2x * 2) = 5x + -3(3x + -4) (-6 + 4x) = 5x + -3(3x + -4) Reorder the terms: -6 + 4x = 5x + -3(-4 + 3x) -6 + 4x = 5x + (-4 * -3 + 3x * -3) -6 + 4x = 5x + (12 + -9x) Reorder the terms: -6 + 4x = 12 + 5x + -9x Combine like terms: 5x + -9x = -4x -6 + 4x = 12 + -4x Solving -6 + 4x = 12 + -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 + 4x + 4x = 12 + -4x + 4x Combine like terms: 4x + 4x = 8x -6 + 8x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 8x = 12 + 0 -6 + 8x = 12 Add '6' to each side of the equation. -6 + 6 + 8x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 12 + 6 8x = 12 + 6 Combine like terms: 12 + 6 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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