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Simplifying 12x + -7 = -3x + 8 Reorder the terms: -7 + 12x = -3x + 8 Reorder the terms: -7 + 12x = 8 + -3x Solving -7 + 12x = 8 + -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. -7 + 12x + 3x = 8 + -3x + 3x Combine like terms: 12x + 3x = 15x -7 + 15x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 15x = 8 + 0 -7 + 15x = 8 Add '7' to each side of the equation. -7 + 7 + 15x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 15x = 8 + 7 15x = 8 + 7 Combine like terms: 8 + 7 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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