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Simplifying 3(7x + 3) + 3(-3 + 8x) = (-35 + 46x) Reorder the terms: 3(3 + 7x) + 3(-3 + 8x) = (-35 + 46x) (3 * 3 + 7x * 3) + 3(-3 + 8x) = (-35 + 46x) (9 + 21x) + 3(-3 + 8x) = (-35 + 46x) 9 + 21x + (-3 * 3 + 8x * 3) = (-35 + 46x) 9 + 21x + (-9 + 24x) = (-35 + 46x) Reorder the terms: 9 + -9 + 21x + 24x = (-35 + 46x) Combine like terms: 9 + -9 = 0 0 + 21x + 24x = (-35 + 46x) 21x + 24x = (-35 + 46x) Combine like terms: 21x + 24x = 45x 45x = (-35 + 46x) Remove parenthesis around (-35 + 46x) 45x = -35 + 46x Solving 45x = -35 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. 45x + -46x = -35 + 46x + -46x Combine like terms: 45x + -46x = -1x -1x = -35 + 46x + -46x Combine like terms: 46x + -46x = 0 -1x = -35 + 0 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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