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Simplifying 5(9x + -3) + -9 = 12(1 + 3x) Reorder the terms: 5(-3 + 9x) + -9 = 12(1 + 3x) (-3 * 5 + 9x * 5) + -9 = 12(1 + 3x) (-15 + 45x) + -9 = 12(1 + 3x) Reorder the terms: -15 + -9 + 45x = 12(1 + 3x) Combine like terms: -15 + -9 = -24 -24 + 45x = 12(1 + 3x) -24 + 45x = (1 * 12 + 3x * 12) -24 + 45x = (12 + 36x) Solving -24 + 45x = 12 + 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. -24 + 45x + -36x = 12 + 36x + -36x Combine like terms: 45x + -36x = 9x -24 + 9x = 12 + 36x + -36x Combine like terms: 36x + -36x = 0 -24 + 9x = 12 + 0 -24 + 9x = 12 Add '24' to each side of the equation. -24 + 24 + 9x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 12 + 24 9x = 12 + 24 Combine like terms: 12 + 24 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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