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Simplifying 5x + -1(4 + -1(2x + 7)) = 3 + -1(2x + -9) Reorder the terms: 5x + -1(4 + -1(7 + 2x)) = 3 + -1(2x + -9) 5x + -1(4 + (7 * -1 + 2x * -1)) = 3 + -1(2x + -9) 5x + -1(4 + (-7 + -2x)) = 3 + -1(2x + -9) Combine like terms: 4 + -7 = -3 5x + -1(-3 + -2x) = 3 + -1(2x + -9) 5x + (-3 * -1 + -2x * -1) = 3 + -1(2x + -9) 5x + (3 + 2x) = 3 + -1(2x + -9) Reorder the terms: 3 + 5x + 2x = 3 + -1(2x + -9) Combine like terms: 5x + 2x = 7x 3 + 7x = 3 + -1(2x + -9) Reorder the terms: 3 + 7x = 3 + -1(-9 + 2x) 3 + 7x = 3 + (-9 * -1 + 2x * -1) 3 + 7x = 3 + (9 + -2x) Combine like terms: 3 + 9 = 12 3 + 7x = 12 + -2x Solving 3 + 7x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 7x + 2x = 12 + -2x + 2x Combine like terms: 7x + 2x = 9x 3 + 9x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 9x = 12 + 0 3 + 9x = 12 Add '-3' to each side of the equation. 3 + -3 + 9x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 12 + -3 9x = 12 + -3 Combine like terms: 12 + -3 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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