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Simplifying 7(3x + -9) = 5x + 6 Reorder the terms: 7(-9 + 3x) = 5x + 6 (-9 * 7 + 3x * 7) = 5x + 6 (-63 + 21x) = 5x + 6 Reorder the terms: -63 + 21x = 6 + 5x Solving -63 + 21x = 6 + 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 + 21x + -5x = 6 + 5x + -5x Combine like terms: 21x + -5x = 16x -63 + 16x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -63 + 16x = 6 + 0 -63 + 16x = 6 Add '63' to each side of the equation. -63 + 63 + 16x = 6 + 63 Combine like terms: -63 + 63 = 0 0 + 16x = 6 + 63 16x = 6 + 63 Combine like terms: 6 + 63 = 69 16x = 69 Divide each side by '16'. x = 4.3125 Simplifying x = 4.3125
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