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Simplifying 8x + -1(9x + 5) = 6x + -19 Reorder the terms: 8x + -1(5 + 9x) = 6x + -19 8x + (5 * -1 + 9x * -1) = 6x + -19 8x + (-5 + -9x) = 6x + -19 Reorder the terms: -5 + 8x + -9x = 6x + -19 Combine like terms: 8x + -9x = -1x -5 + -1x = 6x + -19 Reorder the terms: -5 + -1x = -19 + 6x Solving -5 + -1x = -19 + 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 + -1x + -6x = -19 + 6x + -6x Combine like terms: -1x + -6x = -7x -5 + -7x = -19 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -7x = -19 + 0 -5 + -7x = -19 Add '5' to each side of the equation. -5 + 5 + -7x = -19 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -19 + 5 -7x = -19 + 5 Combine like terms: -19 + 5 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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