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Simplifying 3x + 2(6 + -1x) + 5 = 37 + -9x 3x + (6 * 2 + -1x * 2) + 5 = 37 + -9x 3x + (12 + -2x) + 5 = 37 + -9x Reorder the terms: 12 + 5 + 3x + -2x = 37 + -9x Combine like terms: 12 + 5 = 17 17 + 3x + -2x = 37 + -9x Combine like terms: 3x + -2x = 1x 17 + 1x = 37 + -9x Solving 17 + 1x = 37 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 17 + 1x + 9x = 37 + -9x + 9x Combine like terms: 1x + 9x = 10x 17 + 10x = 37 + -9x + 9x Combine like terms: -9x + 9x = 0 17 + 10x = 37 + 0 17 + 10x = 37 Add '-17' to each side of the equation. 17 + -17 + 10x = 37 + -17 Combine like terms: 17 + -17 = 0 0 + 10x = 37 + -17 10x = 37 + -17 Combine like terms: 37 + -17 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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