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Simplifying 3(x + 5x + 2) = 24x Reorder the terms: 3(2 + x + 5x) = 24x Combine like terms: x + 5x = 6x 3(2 + 6x) = 24x (2 * 3 + 6x * 3) = 24x (6 + 18x) = 24x Solving 6 + 18x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 6 + 18x + -24x = 24x + -24x Combine like terms: 18x + -24x = -6x 6 + -6x = 24x + -24x Combine like terms: 24x + -24x = 0 6 + -6x = 0 Add '-6' to each side of the equation. 6 + -6 + -6x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 0 + -6 -6x = 0 + -6 Combine like terms: 0 + -6 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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