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Simplifying (3x + -4)(-5 + 36) = 81x + -1(2x + -2) Reorder the terms: (-4 + 3x)(-5 + 36) = 81x + -1(2x + -2) Combine like terms: -5 + 36 = 31 (-4 + 3x)(31) = 81x + -1(2x + -2) Reorder the terms for easier multiplication: 31(-4 + 3x) = 81x + -1(2x + -2) (-4 * 31 + 3x * 31) = 81x + -1(2x + -2) (-124 + 93x) = 81x + -1(2x + -2) Reorder the terms: -124 + 93x = 81x + -1(-2 + 2x) -124 + 93x = 81x + (-2 * -1 + 2x * -1) -124 + 93x = 81x + (2 + -2x) Reorder the terms: -124 + 93x = 2 + 81x + -2x Combine like terms: 81x + -2x = 79x -124 + 93x = 2 + 79x Solving -124 + 93x = 2 + 79x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-79x' to each side of the equation. -124 + 93x + -79x = 2 + 79x + -79x Combine like terms: 93x + -79x = 14x -124 + 14x = 2 + 79x + -79x Combine like terms: 79x + -79x = 0 -124 + 14x = 2 + 0 -124 + 14x = 2 Add '124' to each side of the equation. -124 + 124 + 14x = 2 + 124 Combine like terms: -124 + 124 = 0 0 + 14x = 2 + 124 14x = 2 + 124 Combine like terms: 2 + 124 = 126 14x = 126 Divide each side by '14'. x = 9 Simplifying x = 9
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