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Simplifying 12x + -7 + 8x + -3x = -5x + 15 Reorder the terms: -7 + 12x + 8x + -3x = -5x + 15 Combine like terms: 12x + 8x = 20x -7 + 20x + -3x = -5x + 15 Combine like terms: 20x + -3x = 17x -7 + 17x = -5x + 15 Reorder the terms: -7 + 17x = 15 + -5x Solving -7 + 17x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + 17x + 5x = 15 + -5x + 5x Combine like terms: 17x + 5x = 22x -7 + 22x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 22x = 15 + 0 -7 + 22x = 15 Add '7' to each side of the equation. -7 + 7 + 22x = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 22x = 15 + 7 22x = 15 + 7 Combine like terms: 15 + 7 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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