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Simplifying 8x + -5x = -5(1 + -4x) + 8(x + 10) Combine like terms: 8x + -5x = 3x 3x = -5(1 + -4x) + 8(x + 10) 3x = (1 * -5 + -4x * -5) + 8(x + 10) 3x = (-5 + 20x) + 8(x + 10) Reorder the terms: 3x = -5 + 20x + 8(10 + x) 3x = -5 + 20x + (10 * 8 + x * 8) 3x = -5 + 20x + (80 + 8x) Reorder the terms: 3x = -5 + 80 + 20x + 8x Combine like terms: -5 + 80 = 75 3x = 75 + 20x + 8x Combine like terms: 20x + 8x = 28x 3x = 75 + 28x Solving 3x = 75 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 3x + -28x = 75 + 28x + -28x Combine like terms: 3x + -28x = -25x -25x = 75 + 28x + -28x Combine like terms: 28x + -28x = 0 -25x = 75 + 0 -25x = 75 Divide each side by '-25'. x = -3 Simplifying x = -3
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