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Simplifying 3(3x + 7) + -6 = x + 31 Reorder the terms: 3(7 + 3x) + -6 = x + 31 (7 * 3 + 3x * 3) + -6 = x + 31 (21 + 9x) + -6 = x + 31 Reorder the terms: 21 + -6 + 9x = x + 31 Combine like terms: 21 + -6 = 15 15 + 9x = x + 31 Reorder the terms: 15 + 9x = 31 + x Solving 15 + 9x = 31 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 9x + -1x = 31 + x + -1x Combine like terms: 9x + -1x = 8x 15 + 8x = 31 + x + -1x Combine like terms: x + -1x = 0 15 + 8x = 31 + 0 15 + 8x = 31 Add '-15' to each side of the equation. 15 + -15 + 8x = 31 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 31 + -15 8x = 31 + -15 Combine like terms: 31 + -15 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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