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Simplifying x + 7x + -12 = 14 + -3x + 1 Reorder the terms: -12 + x + 7x = 14 + -3x + 1 Combine like terms: x + 7x = 8x -12 + 8x = 14 + -3x + 1 Reorder the terms: -12 + 8x = 14 + 1 + -3x Combine like terms: 14 + 1 = 15 -12 + 8x = 15 + -3x Solving -12 + 8x = 15 + -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. -12 + 8x + 3x = 15 + -3x + 3x Combine like terms: 8x + 3x = 11x -12 + 11x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 11x = 15 + 0 -12 + 11x = 15 Add '12' to each side of the equation. -12 + 12 + 11x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 15 + 12 11x = 15 + 12 Combine like terms: 15 + 12 = 27 11x = 27 Divide each side by '11'. x = 2.454545455 Simplifying x = 2.454545455
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