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Simplifying 3(4x + -2) + -1(5x + -8) = 8 + -1(2x + 3) Reorder the terms: 3(-2 + 4x) + -1(5x + -8) = 8 + -1(2x + 3) (-2 * 3 + 4x * 3) + -1(5x + -8) = 8 + -1(2x + 3) (-6 + 12x) + -1(5x + -8) = 8 + -1(2x + 3) Reorder the terms: -6 + 12x + -1(-8 + 5x) = 8 + -1(2x + 3) -6 + 12x + (-8 * -1 + 5x * -1) = 8 + -1(2x + 3) -6 + 12x + (8 + -5x) = 8 + -1(2x + 3) Reorder the terms: -6 + 8 + 12x + -5x = 8 + -1(2x + 3) Combine like terms: -6 + 8 = 2 2 + 12x + -5x = 8 + -1(2x + 3) Combine like terms: 12x + -5x = 7x 2 + 7x = 8 + -1(2x + 3) Reorder the terms: 2 + 7x = 8 + -1(3 + 2x) 2 + 7x = 8 + (3 * -1 + 2x * -1) 2 + 7x = 8 + (-3 + -2x) Combine like terms: 8 + -3 = 5 2 + 7x = 5 + -2x Solving 2 + 7x = 5 + -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. 2 + 7x + 2x = 5 + -2x + 2x Combine like terms: 7x + 2x = 9x 2 + 9x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 9x = 5 + 0 2 + 9x = 5 Add '-2' to each side of the equation. 2 + -2 + 9x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 5 + -2 9x = 5 + -2 Combine like terms: 5 + -2 = 3 9x = 3 Divide each side by '9'. x = 0.3333333333 Simplifying x = 0.3333333333
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