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Simplifying 5(2x + -1) = 7x + -8 Reorder the terms: 5(-1 + 2x) = 7x + -8 (-1 * 5 + 2x * 5) = 7x + -8 (-5 + 10x) = 7x + -8 Reorder the terms: -5 + 10x = -8 + 7x Solving -5 + 10x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 10x + -7x = -8 + 7x + -7x Combine like terms: 10x + -7x = 3x -5 + 3x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 3x = -8 + 0 -5 + 3x = -8 Add '5' to each side of the equation. -5 + 5 + 3x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -8 + 5 3x = -8 + 5 Combine like terms: -8 + 5 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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