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Simplifying 8x + -3(5 + 2x) = 85 + -3x 8x + (5 * -3 + 2x * -3) = 85 + -3x 8x + (-15 + -6x) = 85 + -3x Reorder the terms: -15 + 8x + -6x = 85 + -3x Combine like terms: 8x + -6x = 2x -15 + 2x = 85 + -3x Solving -15 + 2x = 85 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -15 + 2x + 3x = 85 + -3x + 3x Combine like terms: 2x + 3x = 5x -15 + 5x = 85 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 5x = 85 + 0 -15 + 5x = 85 Add '15' to each side of the equation. -15 + 15 + 5x = 85 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 85 + 15 5x = 85 + 15 Combine like terms: 85 + 15 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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