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Simplifying 8(3x + 6) = 3(4x + 8) Reorder the terms: 8(6 + 3x) = 3(4x + 8) (6 * 8 + 3x * 8) = 3(4x + 8) (48 + 24x) = 3(4x + 8) Reorder the terms: 48 + 24x = 3(8 + 4x) 48 + 24x = (8 * 3 + 4x * 3) 48 + 24x = (24 + 12x) Solving 48 + 24x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 48 + 24x + -12x = 24 + 12x + -12x Combine like terms: 24x + -12x = 12x 48 + 12x = 24 + 12x + -12x Combine like terms: 12x + -12x = 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 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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