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Simplifying 3(x + 8) = 2(6x + 3) Reorder the terms: 3(8 + x) = 2(6x + 3) (8 * 3 + x * 3) = 2(6x + 3) (24 + 3x) = 2(6x + 3) Reorder the terms: 24 + 3x = 2(3 + 6x) 24 + 3x = (3 * 2 + 6x * 2) 24 + 3x = (6 + 12x) Solving 24 + 3x = 6 + 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. 24 + 3x + -12x = 6 + 12x + -12x Combine like terms: 3x + -12x = -9x 24 + -9x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -9x = 6 + 0 24 + -9x = 6 Add '-24' to each side of the equation. 24 + -24 + -9x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = 6 + -24 -9x = 6 + -24 Combine like terms: 6 + -24 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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