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Simplifying 7x + -1(2x + 9) = 8x + -21 Reorder the terms: 7x + -1(9 + 2x) = 8x + -21 7x + (9 * -1 + 2x * -1) = 8x + -21 7x + (-9 + -2x) = 8x + -21 Reorder the terms: -9 + 7x + -2x = 8x + -21 Combine like terms: 7x + -2x = 5x -9 + 5x = 8x + -21 Reorder the terms: -9 + 5x = -21 + 8x Solving -9 + 5x = -21 + 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. -9 + 5x + -8x = -21 + 8x + -8x Combine like terms: 5x + -8x = -3x -9 + -3x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -3x = -21 + 0 -9 + -3x = -21 Add '9' to each side of the equation. -9 + 9 + -3x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -21 + 9 -3x = -21 + 9 Combine like terms: -21 + 9 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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