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Simplifying (15x + -3) * 12 = (5x + 3) * 9 Reorder the terms: (-3 + 15x) * 12 = (5x + 3) * 9 Reorder the terms for easier multiplication: 12(-3 + 15x) = (5x + 3) * 9 (-3 * 12 + 15x * 12) = (5x + 3) * 9 (-36 + 180x) = (5x + 3) * 9 Reorder the terms: -36 + 180x = (3 + 5x) * 9 Reorder the terms for easier multiplication: -36 + 180x = 9(3 + 5x) -36 + 180x = (3 * 9 + 5x * 9) -36 + 180x = (27 + 45x) Solving -36 + 180x = 27 + 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 + 180x + -45x = 27 + 45x + -45x Combine like terms: 180x + -45x = 135x -36 + 135x = 27 + 45x + -45x Combine like terms: 45x + -45x = 0 -36 + 135x = 27 + 0 -36 + 135x = 27 Add '36' to each side of the equation. -36 + 36 + 135x = 27 + 36 Combine like terms: -36 + 36 = 0 0 + 135x = 27 + 36 135x = 27 + 36 Combine like terms: 27 + 36 = 63 135x = 63 Divide each side by '135'. x = 0.4666666667 Simplifying x = 0.4666666667
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