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Simplifying 2(x + 5) + -3x + 4x + -6 = 97 Reorder the terms: 2(5 + x) + -3x + 4x + -6 = 97 (5 * 2 + x * 2) + -3x + 4x + -6 = 97 (10 + 2x) + -3x + 4x + -6 = 97 Reorder the terms: 10 + -6 + 2x + -3x + 4x = 97 Combine like terms: 10 + -6 = 4 4 + 2x + -3x + 4x = 97 Combine like terms: 2x + -3x = -1x 4 + -1x + 4x = 97 Combine like terms: -1x + 4x = 3x 4 + 3x = 97 Solving 4 + 3x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 97 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 97 + -4 3x = 97 + -4 Combine like terms: 97 + -4 = 93 3x = 93 Divide each side by '3'. x = 31 Simplifying x = 31
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