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Simplifying 7x + 6(2 + -1x) + 31 = 32 + 3(6 + x) 7x + (2 * 6 + -1x * 6) + 31 = 32 + 3(6 + x) 7x + (12 + -6x) + 31 = 32 + 3(6 + x) Reorder the terms: 12 + 31 + 7x + -6x = 32 + 3(6 + x) Combine like terms: 12 + 31 = 43 43 + 7x + -6x = 32 + 3(6 + x) Combine like terms: 7x + -6x = 1x 43 + 1x = 32 + 3(6 + x) 43 + 1x = 32 + (6 * 3 + x * 3) 43 + 1x = 32 + (18 + 3x) Combine like terms: 32 + 18 = 50 43 + 1x = 50 + 3x Solving 43 + 1x = 50 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 43 + 1x + -3x = 50 + 3x + -3x Combine like terms: 1x + -3x = -2x 43 + -2x = 50 + 3x + -3x Combine like terms: 3x + -3x = 0 43 + -2x = 50 + 0 43 + -2x = 50 Add '-43' to each side of the equation. 43 + -43 + -2x = 50 + -43 Combine like terms: 43 + -43 = 0 0 + -2x = 50 + -43 -2x = 50 + -43 Combine like terms: 50 + -43 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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