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Simplifying 7(x + -9) = -5x + 21 Reorder the terms: 7(-9 + x) = -5x + 21 (-9 * 7 + x * 7) = -5x + 21 (-63 + 7x) = -5x + 21 Reorder the terms: -63 + 7x = 21 + -5x Solving -63 + 7x = 21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -63 + 7x + 5x = 21 + -5x + 5x Combine like terms: 7x + 5x = 12x -63 + 12x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 -63 + 12x = 21 + 0 -63 + 12x = 21 Add '63' to each side of the equation. -63 + 63 + 12x = 21 + 63 Combine like terms: -63 + 63 = 0 0 + 12x = 21 + 63 12x = 21 + 63 Combine like terms: 21 + 63 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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