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Simplifying -4x + 3(5x + 14) = 97 Reorder the terms: -4x + 3(14 + 5x) = 97 -4x + (14 * 3 + 5x * 3) = 97 -4x + (42 + 15x) = 97 Reorder the terms: 42 + -4x + 15x = 97 Combine like terms: -4x + 15x = 11x 42 + 11x = 97 Solving 42 + 11x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 11x = 97 + -42 Combine like terms: 42 + -42 = 0 0 + 11x = 97 + -42 11x = 97 + -42 Combine like terms: 97 + -42 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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