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Simplifying 7(6 + -3x + -8x) + 7(8x + 6) = 21 Combine like terms: -3x + -8x = -11x 7(6 + -11x) + 7(8x + 6) = 21 (6 * 7 + -11x * 7) + 7(8x + 6) = 21 (42 + -77x) + 7(8x + 6) = 21 Reorder the terms: 42 + -77x + 7(6 + 8x) = 21 42 + -77x + (6 * 7 + 8x * 7) = 21 42 + -77x + (42 + 56x) = 21 Reorder the terms: 42 + 42 + -77x + 56x = 21 Combine like terms: 42 + 42 = 84 84 + -77x + 56x = 21 Combine like terms: -77x + 56x = -21x 84 + -21x = 21 Solving 84 + -21x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -21x = 21 + -84 Combine like terms: 84 + -84 = 0 0 + -21x = 21 + -84 -21x = 21 + -84 Combine like terms: 21 + -84 = -63 -21x = -63 Divide each side by '-21'. x = 3 Simplifying x = 3
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