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Simplifying 9x + 48 = 3(7x + -8) Reorder the terms: 48 + 9x = 3(7x + -8) Reorder the terms: 48 + 9x = 3(-8 + 7x) 48 + 9x = (-8 * 3 + 7x * 3) 48 + 9x = (-24 + 21x) Solving 48 + 9x = -24 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 48 + 9x + -21x = -24 + 21x + -21x Combine like terms: 9x + -21x = -12x 48 + -12x = -24 + 21x + -21x Combine like terms: 21x + -21x = 0 48 + -12x = -24 + 0 48 + -12x = -24 Add '-48' to each side of the equation. 48 + -48 + -12x = -24 + -48 Combine like terms: 48 + -48 = 0 0 + -12x = -24 + -48 -12x = -24 + -48 Combine like terms: -24 + -48 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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