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Simplifying -8 + 5(2x + -1) = 3x + 1 Reorder the terms: -8 + 5(-1 + 2x) = 3x + 1 -8 + (-1 * 5 + 2x * 5) = 3x + 1 -8 + (-5 + 10x) = 3x + 1 Combine like terms: -8 + -5 = -13 -13 + 10x = 3x + 1 Reorder the terms: -13 + 10x = 1 + 3x Solving -13 + 10x = 1 + 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. -13 + 10x + -3x = 1 + 3x + -3x Combine like terms: 10x + -3x = 7x -13 + 7x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 7x = 1 + 0 -13 + 7x = 1 Add '13' to each side of the equation. -13 + 13 + 7x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 1 + 13 7x = 1 + 13 Combine like terms: 1 + 13 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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