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Simplifying 3(3x + -7) = 6(5x + 9) + 28 Reorder the terms: 3(-7 + 3x) = 6(5x + 9) + 28 (-7 * 3 + 3x * 3) = 6(5x + 9) + 28 (-21 + 9x) = 6(5x + 9) + 28 Reorder the terms: -21 + 9x = 6(9 + 5x) + 28 -21 + 9x = (9 * 6 + 5x * 6) + 28 -21 + 9x = (54 + 30x) + 28 Reorder the terms: -21 + 9x = 54 + 28 + 30x Combine like terms: 54 + 28 = 82 -21 + 9x = 82 + 30x Solving -21 + 9x = 82 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -21 + 9x + -30x = 82 + 30x + -30x Combine like terms: 9x + -30x = -21x -21 + -21x = 82 + 30x + -30x Combine like terms: 30x + -30x = 0 -21 + -21x = 82 + 0 -21 + -21x = 82 Add '21' to each side of the equation. -21 + 21 + -21x = 82 + 21 Combine like terms: -21 + 21 = 0 0 + -21x = 82 + 21 -21x = 82 + 21 Combine like terms: 82 + 21 = 103 -21x = 103 Divide each side by '-21'. x = -4.904761905 Simplifying x = -4.904761905
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