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Simplifying 6x + -1(9x + 5) = 8x + -16 Reorder the terms: 6x + -1(5 + 9x) = 8x + -16 6x + (5 * -1 + 9x * -1) = 8x + -16 6x + (-5 + -9x) = 8x + -16 Reorder the terms: -5 + 6x + -9x = 8x + -16 Combine like terms: 6x + -9x = -3x -5 + -3x = 8x + -16 Reorder the terms: -5 + -3x = -16 + 8x Solving -5 + -3x = -16 + 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 + -3x + -8x = -16 + 8x + -8x Combine like terms: -3x + -8x = -11x -5 + -11x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -11x = -16 + 0 -5 + -11x = -16 Add '5' to each side of the equation. -5 + 5 + -11x = -16 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = -16 + 5 -11x = -16 + 5 Combine like terms: -16 + 5 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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