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Simplifying 3(18x + 15) = 9(4x + -5) Reorder the terms: 3(15 + 18x) = 9(4x + -5) (15 * 3 + 18x * 3) = 9(4x + -5) (45 + 54x) = 9(4x + -5) Reorder the terms: 45 + 54x = 9(-5 + 4x) 45 + 54x = (-5 * 9 + 4x * 9) 45 + 54x = (-45 + 36x) Solving 45 + 54x = -45 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 45 + 54x + -36x = -45 + 36x + -36x Combine like terms: 54x + -36x = 18x 45 + 18x = -45 + 36x + -36x Combine like terms: 36x + -36x = 0 45 + 18x = -45 + 0 45 + 18x = -45 Add '-45' to each side of the equation. 45 + -45 + 18x = -45 + -45 Combine like terms: 45 + -45 = 0 0 + 18x = -45 + -45 18x = -45 + -45 Combine like terms: -45 + -45 = -90 18x = -90 Divide each side by '18'. x = -5 Simplifying x = -5
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