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Simplifying 12x + -3 + x + 1 = 9x + -15 + -1x + 8 Reorder the terms: -3 + 1 + 12x + x = 9x + -15 + -1x + 8 Combine like terms: -3 + 1 = -2 -2 + 12x + x = 9x + -15 + -1x + 8 Combine like terms: 12x + x = 13x -2 + 13x = 9x + -15 + -1x + 8 Reorder the terms: -2 + 13x = -15 + 8 + 9x + -1x Combine like terms: -15 + 8 = -7 -2 + 13x = -7 + 9x + -1x Combine like terms: 9x + -1x = 8x -2 + 13x = -7 + 8x Solving -2 + 13x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 13x + -8x = -7 + 8x + -8x Combine like terms: 13x + -8x = 5x -2 + 5x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 5x = -7 + 0 -2 + 5x = -7 Add '2' to each side of the equation. -2 + 2 + 5x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = -7 + 2 5x = -7 + 2 Combine like terms: -7 + 2 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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