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Simplifying 2(5x + -3) + -1(7x + -9) = 8 + -1(3x + 2) Reorder the terms: 2(-3 + 5x) + -1(7x + -9) = 8 + -1(3x + 2) (-3 * 2 + 5x * 2) + -1(7x + -9) = 8 + -1(3x + 2) (-6 + 10x) + -1(7x + -9) = 8 + -1(3x + 2) Reorder the terms: -6 + 10x + -1(-9 + 7x) = 8 + -1(3x + 2) -6 + 10x + (-9 * -1 + 7x * -1) = 8 + -1(3x + 2) -6 + 10x + (9 + -7x) = 8 + -1(3x + 2) Reorder the terms: -6 + 9 + 10x + -7x = 8 + -1(3x + 2) Combine like terms: -6 + 9 = 3 3 + 10x + -7x = 8 + -1(3x + 2) Combine like terms: 10x + -7x = 3x 3 + 3x = 8 + -1(3x + 2) Reorder the terms: 3 + 3x = 8 + -1(2 + 3x) 3 + 3x = 8 + (2 * -1 + 3x * -1) 3 + 3x = 8 + (-2 + -3x) Combine like terms: 8 + -2 = 6 3 + 3x = 6 + -3x Solving 3 + 3x = 6 + -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. 3 + 3x + 3x = 6 + -3x + 3x Combine like terms: 3x + 3x = 6x 3 + 6x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 6x = 6 + 0 3 + 6x = 6 Add '-3' to each side of the equation. 3 + -3 + 6x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 6 + -3 6x = 6 + -3 Combine like terms: 6 + -3 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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