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Simplifying 5x + -9 = (3 + -1x) * 12 + 2x Reorder the terms: -9 + 5x = (3 + -1x) * 12 + 2x Reorder the terms for easier multiplication: -9 + 5x = 12(3 + -1x) + 2x -9 + 5x = (3 * 12 + -1x * 12) + 2x -9 + 5x = (36 + -12x) + 2x Combine like terms: -12x + 2x = -10x -9 + 5x = 36 + -10x Solving -9 + 5x = 36 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -9 + 5x + 10x = 36 + -10x + 10x Combine like terms: 5x + 10x = 15x -9 + 15x = 36 + -10x + 10x Combine like terms: -10x + 10x = 0 -9 + 15x = 36 + 0 -9 + 15x = 36 Add '9' to each side of the equation. -9 + 9 + 15x = 36 + 9 Combine like terms: -9 + 9 = 0 0 + 15x = 36 + 9 15x = 36 + 9 Combine like terms: 36 + 9 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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