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Simplifying 10(2x + 3) = 18x + 90 Reorder the terms: 10(3 + 2x) = 18x + 90 (3 * 10 + 2x * 10) = 18x + 90 (30 + 20x) = 18x + 90 Reorder the terms: 30 + 20x = 90 + 18x Solving 30 + 20x = 90 + 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 + 20x + -18x = 90 + 18x + -18x Combine like terms: 20x + -18x = 2x 30 + 2x = 90 + 18x + -18x Combine like terms: 18x + -18x = 0 30 + 2x = 90 + 0 30 + 2x = 90 Add '-30' to each side of the equation. 30 + -30 + 2x = 90 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 90 + -30 2x = 90 + -30 Combine like terms: 90 + -30 = 60 2x = 60 Divide each side by '2'. x = 30 Simplifying x = 30
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