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Simplifying 7x + -1(2x + -9) = 3 + -1x + -1(3x + 5) + 20 Reorder the terms: 7x + -1(-9 + 2x) = 3 + -1x + -1(3x + 5) + 20 7x + (-9 * -1 + 2x * -1) = 3 + -1x + -1(3x + 5) + 20 7x + (9 + -2x) = 3 + -1x + -1(3x + 5) + 20 Reorder the terms: 9 + 7x + -2x = 3 + -1x + -1(3x + 5) + 20 Combine like terms: 7x + -2x = 5x 9 + 5x = 3 + -1x + -1(3x + 5) + 20 Reorder the terms: 9 + 5x = 3 + -1x + -1(5 + 3x) + 20 9 + 5x = 3 + -1x + (5 * -1 + 3x * -1) + 20 9 + 5x = 3 + -1x + (-5 + -3x) + 20 Reorder the terms: 9 + 5x = 3 + -5 + 20 + -1x + -3x Combine like terms: 3 + -5 = -2 9 + 5x = -2 + 20 + -1x + -3x Combine like terms: -2 + 20 = 18 9 + 5x = 18 + -1x + -3x Combine like terms: -1x + -3x = -4x 9 + 5x = 18 + -4x Solving 9 + 5x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + 5x + 4x = 18 + -4x + 4x Combine like terms: 5x + 4x = 9x 9 + 9x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 9x = 18 + 0 9 + 9x = 18 Add '-9' to each side of the equation. 9 + -9 + 9x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 18 + -9 9x = 18 + -9 Combine like terms: 18 + -9 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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