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Simplifying 7(6 + -9x + -3x) + 7(9x + 7) = 28 Combine like terms: -9x + -3x = -12x 7(6 + -12x) + 7(9x + 7) = 28 (6 * 7 + -12x * 7) + 7(9x + 7) = 28 (42 + -84x) + 7(9x + 7) = 28 Reorder the terms: 42 + -84x + 7(7 + 9x) = 28 42 + -84x + (7 * 7 + 9x * 7) = 28 42 + -84x + (49 + 63x) = 28 Reorder the terms: 42 + 49 + -84x + 63x = 28 Combine like terms: 42 + 49 = 91 91 + -84x + 63x = 28 Combine like terms: -84x + 63x = -21x 91 + -21x = 28 Solving 91 + -21x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + -21x = 28 + -91 Combine like terms: 91 + -91 = 0 0 + -21x = 28 + -91 -21x = 28 + -91 Combine like terms: 28 + -91 = -63 -21x = -63 Divide each side by '-21'. x = 3 Simplifying x = 3
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