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Simplifying 15(3x + -30) = 9(2x + 4) Reorder the terms: 15(-30 + 3x) = 9(2x + 4) (-30 * 15 + 3x * 15) = 9(2x + 4) (-450 + 45x) = 9(2x + 4) Reorder the terms: -450 + 45x = 9(4 + 2x) -450 + 45x = (4 * 9 + 2x * 9) -450 + 45x = (36 + 18x) Solving -450 + 45x = 36 + 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. -450 + 45x + -18x = 36 + 18x + -18x Combine like terms: 45x + -18x = 27x -450 + 27x = 36 + 18x + -18x Combine like terms: 18x + -18x = 0 -450 + 27x = 36 + 0 -450 + 27x = 36 Add '450' to each side of the equation. -450 + 450 + 27x = 36 + 450 Combine like terms: -450 + 450 = 0 0 + 27x = 36 + 450 27x = 36 + 450 Combine like terms: 36 + 450 = 486 27x = 486 Divide each side by '27'. x = 18 Simplifying x = 18
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