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Simplifying 5x + -1(-2x + 6) = 3x + 5 + 2x + -8 Reorder the terms: 5x + -1(6 + -2x) = 3x + 5 + 2x + -8 5x + (6 * -1 + -2x * -1) = 3x + 5 + 2x + -8 5x + (-6 + 2x) = 3x + 5 + 2x + -8 Reorder the terms: -6 + 5x + 2x = 3x + 5 + 2x + -8 Combine like terms: 5x + 2x = 7x -6 + 7x = 3x + 5 + 2x + -8 Reorder the terms: -6 + 7x = 5 + -8 + 3x + 2x Combine like terms: 5 + -8 = -3 -6 + 7x = -3 + 3x + 2x Combine like terms: 3x + 2x = 5x -6 + 7x = -3 + 5x Solving -6 + 7x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 7x + -5x = -3 + 5x + -5x Combine like terms: 7x + -5x = 2x -6 + 2x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 2x = -3 + 0 -6 + 2x = -3 Add '6' to each side of the equation. -6 + 6 + 2x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -3 + 6 2x = -3 + 6 Combine like terms: -3 + 6 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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