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Simplifying 12x + -5 + 3x = 5x + -7 + 8x Reorder the terms: -5 + 12x + 3x = 5x + -7 + 8x Combine like terms: 12x + 3x = 15x -5 + 15x = 5x + -7 + 8x Reorder the terms: -5 + 15x = -7 + 5x + 8x Combine like terms: 5x + 8x = 13x -5 + 15x = -7 + 13x Solving -5 + 15x = -7 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -5 + 15x + -13x = -7 + 13x + -13x Combine like terms: 15x + -13x = 2x -5 + 2x = -7 + 13x + -13x Combine like terms: 13x + -13x = 0 -5 + 2x = -7 + 0 -5 + 2x = -7 Add '5' to each side of the equation. -5 + 5 + 2x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -7 + 5 2x = -7 + 5 Combine like terms: -7 + 5 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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