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Simplifying 5x + -9 = -3x + 12 + 5x Reorder the terms: -9 + 5x = -3x + 12 + 5x Reorder the terms: -9 + 5x = 12 + -3x + 5x Combine like terms: -3x + 5x = 2x -9 + 5x = 12 + 2x Solving -9 + 5x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 5x + -2x = 12 + 2x + -2x Combine like terms: 5x + -2x = 3x -9 + 3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 3x = 12 + 0 -9 + 3x = 12 Add '9' to each side of the equation. -9 + 9 + 3x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 12 + 9 3x = 12 + 9 Combine like terms: 12 + 9 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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