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Simplifying 3(5x + -2) + -1(8x + -9) = 9 + -1(2x + 3) Reorder the terms: 3(-2 + 5x) + -1(8x + -9) = 9 + -1(2x + 3) (-2 * 3 + 5x * 3) + -1(8x + -9) = 9 + -1(2x + 3) (-6 + 15x) + -1(8x + -9) = 9 + -1(2x + 3) Reorder the terms: -6 + 15x + -1(-9 + 8x) = 9 + -1(2x + 3) -6 + 15x + (-9 * -1 + 8x * -1) = 9 + -1(2x + 3) -6 + 15x + (9 + -8x) = 9 + -1(2x + 3) Reorder the terms: -6 + 9 + 15x + -8x = 9 + -1(2x + 3) Combine like terms: -6 + 9 = 3 3 + 15x + -8x = 9 + -1(2x + 3) Combine like terms: 15x + -8x = 7x 3 + 7x = 9 + -1(2x + 3) Reorder the terms: 3 + 7x = 9 + -1(3 + 2x) 3 + 7x = 9 + (3 * -1 + 2x * -1) 3 + 7x = 9 + (-3 + -2x) Combine like terms: 9 + -3 = 6 3 + 7x = 6 + -2x Solving 3 + 7x = 6 + -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 = 6 + -2x + 2x Combine like terms: 7x + 2x = 9x 3 + 9x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 9x = 6 + 0 3 + 9x = 6 Add '-3' to each side of the equation. 3 + -3 + 9x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 6 + -3 9x = 6 + -3 Combine like terms: 6 + -3 = 3 9x = 3 Divide each side by '9'. x = 0.3333333333 Simplifying x = 0.3333333333
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