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Simplifying 38(24 + -3.5x) = 16(3x + -10) + 76.5 (24 * 38 + -3.5x * 38) = 16(3x + -10) + 76.5 (912 + -133x) = 16(3x + -10) + 76.5 Reorder the terms: 912 + -133x = 16(-10 + 3x) + 76.5 912 + -133x = (-10 * 16 + 3x * 16) + 76.5 912 + -133x = (-160 + 48x) + 76.5 Reorder the terms: 912 + -133x = -160 + 76.5 + 48x Combine like terms: -160 + 76.5 = -83.5 912 + -133x = -83.5 + 48x Solving 912 + -133x = -83.5 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 912 + -133x + -48x = -83.5 + 48x + -48x Combine like terms: -133x + -48x = -181x 912 + -181x = -83.5 + 48x + -48x Combine like terms: 48x + -48x = 0 912 + -181x = -83.5 + 0 912 + -181x = -83.5 Add '-912' to each side of the equation. 912 + -912 + -181x = -83.5 + -912 Combine like terms: 912 + -912 = 0 0 + -181x = -83.5 + -912 -181x = -83.5 + -912 Combine like terms: -83.5 + -912 = -995.5 -181x = -995.5 Divide each side by '-181'. x = 5.5 Simplifying x = 5.5
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