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Simplifying -10(-3x + -3) = 5(5x + -4) Reorder the terms: -10(-3 + -3x) = 5(5x + -4) (-3 * -10 + -3x * -10) = 5(5x + -4) (30 + 30x) = 5(5x + -4) Reorder the terms: 30 + 30x = 5(-4 + 5x) 30 + 30x = (-4 * 5 + 5x * 5) 30 + 30x = (-20 + 25x) Solving 30 + 30x = -20 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 30 + 30x + -25x = -20 + 25x + -25x Combine like terms: 30x + -25x = 5x 30 + 5x = -20 + 25x + -25x Combine like terms: 25x + -25x = 0 30 + 5x = -20 + 0 30 + 5x = -20 Add '-30' to each side of the equation. 30 + -30 + 5x = -20 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = -20 + -30 5x = -20 + -30 Combine like terms: -20 + -30 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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