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Simplifying -3x + -4 + 4(3x + -5) = -5x + 32 Reorder the terms: -3x + -4 + 4(-5 + 3x) = -5x + 32 -3x + -4 + (-5 * 4 + 3x * 4) = -5x + 32 -3x + -4 + (-20 + 12x) = -5x + 32 Reorder the terms: -4 + -20 + -3x + 12x = -5x + 32 Combine like terms: -4 + -20 = -24 -24 + -3x + 12x = -5x + 32 Combine like terms: -3x + 12x = 9x -24 + 9x = -5x + 32 Reorder the terms: -24 + 9x = 32 + -5x Solving -24 + 9x = 32 + -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. -24 + 9x + 5x = 32 + -5x + 5x Combine like terms: 9x + 5x = 14x -24 + 14x = 32 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + 14x = 32 + 0 -24 + 14x = 32 Add '24' to each side of the equation. -24 + 24 + 14x = 32 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 32 + 24 14x = 32 + 24 Combine like terms: 32 + 24 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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