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Simplifying 6(3x + 4) = 5(2x + 8) Reorder the terms: 6(4 + 3x) = 5(2x + 8) (4 * 6 + 3x * 6) = 5(2x + 8) (24 + 18x) = 5(2x + 8) Reorder the terms: 24 + 18x = 5(8 + 2x) 24 + 18x = (8 * 5 + 2x * 5) 24 + 18x = (40 + 10x) Solving 24 + 18x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 18x + -10x = 40 + 10x + -10x Combine like terms: 18x + -10x = 8x 24 + 8x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + 8x = 40 + 0 24 + 8x = 40 Add '-24' to each side of the equation. 24 + -24 + 8x = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 40 + -24 8x = 40 + -24 Combine like terms: 40 + -24 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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