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Simplifying 12x + -15 + -7x + 9 = 3x + 5 Reorder the terms: -15 + 9 + 12x + -7x = 3x + 5 Combine like terms: -15 + 9 = -6 -6 + 12x + -7x = 3x + 5 Combine like terms: 12x + -7x = 5x -6 + 5x = 3x + 5 Reorder the terms: -6 + 5x = 5 + 3x Solving -6 + 5x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 5x + -3x = 5 + 3x + -3x Combine like terms: 5x + -3x = 2x -6 + 2x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 2x = 5 + 0 -6 + 2x = 5 Add '6' to each side of the equation. -6 + 6 + 2x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 5 + 6 2x = 5 + 6 Combine like terms: 5 + 6 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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