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Simplifying 38(14 + -3.5x) = 14(3x + -8) + 31.5 (14 * 38 + -3.5x * 38) = 14(3x + -8) + 31.5 (532 + -133x) = 14(3x + -8) + 31.5 Reorder the terms: 532 + -133x = 14(-8 + 3x) + 31.5 532 + -133x = (-8 * 14 + 3x * 14) + 31.5 532 + -133x = (-112 + 42x) + 31.5 Reorder the terms: 532 + -133x = -112 + 31.5 + 42x Combine like terms: -112 + 31.5 = -80.5 532 + -133x = -80.5 + 42x Solving 532 + -133x = -80.5 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 532 + -133x + -42x = -80.5 + 42x + -42x Combine like terms: -133x + -42x = -175x 532 + -175x = -80.5 + 42x + -42x Combine like terms: 42x + -42x = 0 532 + -175x = -80.5 + 0 532 + -175x = -80.5 Add '-532' to each side of the equation. 532 + -532 + -175x = -80.5 + -532 Combine like terms: 532 + -532 = 0 0 + -175x = -80.5 + -532 -175x = -80.5 + -532 Combine like terms: -80.5 + -532 = -612.5 -175x = -612.5 Divide each side by '-175'. x = 3.5 Simplifying x = 3.5
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