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Simplifying 85x + -1(5 + 9x) * 9 + 10 = 3x + 5 Reorder the terms for easier multiplication: 85x + -1 * 9(5 + 9x) + 10 = 3x + 5 Multiply -1 * 9 85x + -9(5 + 9x) + 10 = 3x + 5 85x + (5 * -9 + 9x * -9) + 10 = 3x + 5 85x + (-45 + -81x) + 10 = 3x + 5 Reorder the terms: -45 + 10 + 85x + -81x = 3x + 5 Combine like terms: -45 + 10 = -35 -35 + 85x + -81x = 3x + 5 Combine like terms: 85x + -81x = 4x -35 + 4x = 3x + 5 Reorder the terms: -35 + 4x = 5 + 3x Solving -35 + 4x = 5 + 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. -35 + 4x + -3x = 5 + 3x + -3x Combine like terms: 4x + -3x = 1x -35 + 1x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 1x = 5 + 0 -35 + 1x = 5 Add '35' to each side of the equation. -35 + 35 + 1x = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = 5 + 35 1x = 5 + 35 Combine like terms: 5 + 35 = 40 1x = 40 Divide each side by '1'. x = 40 Simplifying x = 40
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