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Simplifying -5(5x + 6) = -3(8x + -5) + 4x Reorder the terms: -5(6 + 5x) = -3(8x + -5) + 4x (6 * -5 + 5x * -5) = -3(8x + -5) + 4x (-30 + -25x) = -3(8x + -5) + 4x Reorder the terms: -30 + -25x = -3(-5 + 8x) + 4x -30 + -25x = (-5 * -3 + 8x * -3) + 4x -30 + -25x = (15 + -24x) + 4x Combine like terms: -24x + 4x = -20x -30 + -25x = 15 + -20x Solving -30 + -25x = 15 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -30 + -25x + 20x = 15 + -20x + 20x Combine like terms: -25x + 20x = -5x -30 + -5x = 15 + -20x + 20x Combine like terms: -20x + 20x = 0 -30 + -5x = 15 + 0 -30 + -5x = 15 Add '30' to each side of the equation. -30 + 30 + -5x = 15 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = 15 + 30 -5x = 15 + 30 Combine like terms: 15 + 30 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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