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Simplifying 3x + -5 + 12x + 14 = 4x + 97 Reorder the terms: -5 + 14 + 3x + 12x = 4x + 97 Combine like terms: -5 + 14 = 9 9 + 3x + 12x = 4x + 97 Combine like terms: 3x + 12x = 15x 9 + 15x = 4x + 97 Reorder the terms: 9 + 15x = 97 + 4x Solving 9 + 15x = 97 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 15x + -4x = 97 + 4x + -4x Combine like terms: 15x + -4x = 11x 9 + 11x = 97 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 11x = 97 + 0 9 + 11x = 97 Add '-9' to each side of the equation. 9 + -9 + 11x = 97 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 97 + -9 11x = 97 + -9 Combine like terms: 97 + -9 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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