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Simplifying 38(11 + -3.5x) = 14(3x + -11) + 64.5 (11 * 38 + -3.5x * 38) = 14(3x + -11) + 64.5 (418 + -133x) = 14(3x + -11) + 64.5 Reorder the terms: 418 + -133x = 14(-11 + 3x) + 64.5 418 + -133x = (-11 * 14 + 3x * 14) + 64.5 418 + -133x = (-154 + 42x) + 64.5 Reorder the terms: 418 + -133x = -154 + 64.5 + 42x Combine like terms: -154 + 64.5 = -89.5 418 + -133x = -89.5 + 42x Solving 418 + -133x = -89.5 + 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. 418 + -133x + -42x = -89.5 + 42x + -42x Combine like terms: -133x + -42x = -175x 418 + -175x = -89.5 + 42x + -42x Combine like terms: 42x + -42x = 0 418 + -175x = -89.5 + 0 418 + -175x = -89.5 Add '-418' to each side of the equation. 418 + -418 + -175x = -89.5 + -418 Combine like terms: 418 + -418 = 0 0 + -175x = -89.5 + -418 -175x = -89.5 + -418 Combine like terms: -89.5 + -418 = -507.5 -175x = -507.5 Divide each side by '-175'. x = 2.9 Simplifying x = 2.9
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