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Simplifying x + 7x + -12 = 14 + -3x + 7 Reorder the terms: -12 + x + 7x = 14 + -3x + 7 Combine like terms: x + 7x = 8x -12 + 8x = 14 + -3x + 7 Reorder the terms: -12 + 8x = 14 + 7 + -3x Combine like terms: 14 + 7 = 21 -12 + 8x = 21 + -3x Solving -12 + 8x = 21 + -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 = 21 + -3x + 3x Combine like terms: 8x + 3x = 11x -12 + 11x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 11x = 21 + 0 -12 + 11x = 21 Add '12' to each side of the equation. -12 + 12 + 11x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 21 + 12 11x = 21 + 12 Combine like terms: 21 + 12 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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