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Simplifying 8(3x + 1) = 3(2x + 4) Reorder the terms: 8(1 + 3x) = 3(2x + 4) (1 * 8 + 3x * 8) = 3(2x + 4) (8 + 24x) = 3(2x + 4) Reorder the terms: 8 + 24x = 3(4 + 2x) 8 + 24x = (4 * 3 + 2x * 3) 8 + 24x = (12 + 6x) Solving 8 + 24x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 24x + -6x = 12 + 6x + -6x Combine like terms: 24x + -6x = 18x 8 + 18x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 18x = 12 + 0 8 + 18x = 12 Add '-8' to each side of the equation. 8 + -8 + 18x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 18x = 12 + -8 18x = 12 + -8 Combine like terms: 12 + -8 = 4 18x = 4 Divide each side by '18'. x = 0.2222222222 Simplifying x = 0.2222222222
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