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Simplifying -3(2 + -5x) + 5(-4x + -3) = -5x + -7x (2 * -3 + -5x * -3) + 5(-4x + -3) = -5x + -7x (-6 + 15x) + 5(-4x + -3) = -5x + -7x Reorder the terms: -6 + 15x + 5(-3 + -4x) = -5x + -7x -6 + 15x + (-3 * 5 + -4x * 5) = -5x + -7x -6 + 15x + (-15 + -20x) = -5x + -7x Reorder the terms: -6 + -15 + 15x + -20x = -5x + -7x Combine like terms: -6 + -15 = -21 -21 + 15x + -20x = -5x + -7x Combine like terms: 15x + -20x = -5x -21 + -5x = -5x + -7x Combine like terms: -5x + -7x = -12x -21 + -5x = -12x Solving -21 + -5x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -21 + -5x + 12x = -12x + 12x Combine like terms: -5x + 12x = 7x -21 + 7x = -12x + 12x Combine like terms: -12x + 12x = 0 -21 + 7x = 0 Add '21' to each side of the equation. -21 + 21 + 7x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = 0 + 21 7x = 0 + 21 Combine like terms: 0 + 21 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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