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