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Simplifying 2x + -1(8x + 5) = 8x + -19 Reorder the terms: 2x + -1(5 + 8x) = 8x + -19 2x + (5 * -1 + 8x * -1) = 8x + -19 2x + (-5 + -8x) = 8x + -19 Reorder the terms: -5 + 2x + -8x = 8x + -19 Combine like terms: 2x + -8x = -6x -5 + -6x = 8x + -19 Reorder the terms: -5 + -6x = -19 + 8x Solving -5 + -6x = -19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + -6x + -8x = -19 + 8x + -8x Combine like terms: -6x + -8x = -14x -5 + -14x = -19 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -14x = -19 + 0 -5 + -14x = -19 Add '5' to each side of the equation. -5 + 5 + -14x = -19 + 5 Combine like terms: -5 + 5 = 0 0 + -14x = -19 + 5 -14x = -19 + 5 Combine like terms: -19 + 5 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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