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Simplifying 3(4 + -7x) + 2(5 + -1x) = 38 (4 * 3 + -7x * 3) + 2(5 + -1x) = 38 (12 + -21x) + 2(5 + -1x) = 38 12 + -21x + (5 * 2 + -1x * 2) = 38 12 + -21x + (10 + -2x) = 38 Reorder the terms: 12 + 10 + -21x + -2x = 38 Combine like terms: 12 + 10 = 22 22 + -21x + -2x = 38 Combine like terms: -21x + -2x = -23x 22 + -23x = 38 Solving 22 + -23x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -23x = 38 + -22 Combine like terms: 22 + -22 = 0 0 + -23x = 38 + -22 -23x = 38 + -22 Combine like terms: 38 + -22 = 16 -23x = 16 Divide each side by '-23'. x = -0.6956521739 Simplifying x = -0.6956521739
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