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Simplifying 34(19 + -5.5x) = 16(5x + -8) + 53.1 (19 * 34 + -5.5x * 34) = 16(5x + -8) + 53.1 (646 + -187x) = 16(5x + -8) + 53.1 Reorder the terms: 646 + -187x = 16(-8 + 5x) + 53.1 646 + -187x = (-8 * 16 + 5x * 16) + 53.1 646 + -187x = (-128 + 80x) + 53.1 Reorder the terms: 646 + -187x = -128 + 53.1 + 80x Combine like terms: -128 + 53.1 = -74.9 646 + -187x = -74.9 + 80x Solving 646 + -187x = -74.9 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 646 + -187x + -80x = -74.9 + 80x + -80x Combine like terms: -187x + -80x = -267x 646 + -267x = -74.9 + 80x + -80x Combine like terms: 80x + -80x = 0 646 + -267x = -74.9 + 0 646 + -267x = -74.9 Add '-646' to each side of the equation. 646 + -646 + -267x = -74.9 + -646 Combine like terms: 646 + -646 = 0 0 + -267x = -74.9 + -646 -267x = -74.9 + -646 Combine like terms: -74.9 + -646 = -720.9 -267x = -720.9 Divide each side by '-267'. x = 2.7 Simplifying x = 2.7
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