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