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Simplifying 7x + -1(9x + 5) = 6x + -21 Reorder the terms: 7x + -1(5 + 9x) = 6x + -21 7x + (5 * -1 + 9x * -1) = 6x + -21 7x + (-5 + -9x) = 6x + -21 Reorder the terms: -5 + 7x + -9x = 6x + -21 Combine like terms: 7x + -9x = -2x -5 + -2x = 6x + -21 Reorder the terms: -5 + -2x = -21 + 6x Solving -5 + -2x = -21 + 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 + -2x + -6x = -21 + 6x + -6x Combine like terms: -2x + -6x = -8x -5 + -8x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -8x = -21 + 0 -5 + -8x = -21 Add '5' to each side of the equation. -5 + 5 + -8x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = -21 + 5 -8x = -21 + 5 Combine like terms: -21 + 5 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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