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Simplifying -2(3x + 4) + 4(3x + -4) = (-5x + 4) + -3x Reorder the terms: -2(4 + 3x) + 4(3x + -4) = (-5x + 4) + -3x (4 * -2 + 3x * -2) + 4(3x + -4) = (-5x + 4) + -3x (-8 + -6x) + 4(3x + -4) = (-5x + 4) + -3x Reorder the terms: -8 + -6x + 4(-4 + 3x) = (-5x + 4) + -3x -8 + -6x + (-4 * 4 + 3x * 4) = (-5x + 4) + -3x -8 + -6x + (-16 + 12x) = (-5x + 4) + -3x Reorder the terms: -8 + -16 + -6x + 12x = (-5x + 4) + -3x Combine like terms: -8 + -16 = -24 -24 + -6x + 12x = (-5x + 4) + -3x Combine like terms: -6x + 12x = 6x -24 + 6x = (-5x + 4) + -3x Reorder the terms: -24 + 6x = (4 + -5x) + -3x Remove parenthesis around (4 + -5x) -24 + 6x = 4 + -5x + -3x Combine like terms: -5x + -3x = -8x -24 + 6x = 4 + -8x Solving -24 + 6x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -24 + 6x + 8x = 4 + -8x + 8x Combine like terms: 6x + 8x = 14x -24 + 14x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 14x = 4 + 0 -24 + 14x = 4 Add '24' to each side of the equation. -24 + 24 + 14x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 4 + 24 14x = 4 + 24 Combine like terms: 4 + 24 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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