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Simplifying 3(10 + 8x) = 3(6x + 3) (10 * 3 + 8x * 3) = 3(6x + 3) (30 + 24x) = 3(6x + 3) Reorder the terms: 30 + 24x = 3(3 + 6x) 30 + 24x = (3 * 3 + 6x * 3) 30 + 24x = (9 + 18x) Solving 30 + 24x = 9 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 30 + 24x + -18x = 9 + 18x + -18x Combine like terms: 24x + -18x = 6x 30 + 6x = 9 + 18x + -18x Combine like terms: 18x + -18x = 0 30 + 6x = 9 + 0 30 + 6x = 9 Add '-30' to each side of the equation. 30 + -30 + 6x = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 9 + -30 6x = 9 + -30 Combine like terms: 9 + -30 = -21 6x = -21 Divide each side by '6'. x = -3.5 Simplifying x = -3.5
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