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Simplifying 7(3x + 9) = 7(6x + -7) Reorder the terms: 7(9 + 3x) = 7(6x + -7) (9 * 7 + 3x * 7) = 7(6x + -7) (63 + 21x) = 7(6x + -7) Reorder the terms: 63 + 21x = 7(-7 + 6x) 63 + 21x = (-7 * 7 + 6x * 7) 63 + 21x = (-49 + 42x) Solving 63 + 21x = -49 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 63 + 21x + -42x = -49 + 42x + -42x Combine like terms: 21x + -42x = -21x 63 + -21x = -49 + 42x + -42x Combine like terms: 42x + -42x = 0 63 + -21x = -49 + 0 63 + -21x = -49 Add '-63' to each side of the equation. 63 + -63 + -21x = -49 + -63 Combine like terms: 63 + -63 = 0 0 + -21x = -49 + -63 -21x = -49 + -63 Combine like terms: -49 + -63 = -112 -21x = -112 Divide each side by '-21'. x = 5.333333333 Simplifying x = 5.333333333
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