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Simplifying 0.375(2x + -5.667) = -2.5x + 42 Reorder the terms: 0.375(-5.667 + 2x) = -2.5x + 42 (-5.667 * 0.375 + 2x * 0.375) = -2.5x + 42 (-2.125125 + 0.75x) = -2.5x + 42 Reorder the terms: -2.125125 + 0.75x = 42 + -2.5x Solving -2.125125 + 0.75x = 42 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. -2.125125 + 0.75x + 2.5x = 42 + -2.5x + 2.5x Combine like terms: 0.75x + 2.5x = 3.25x -2.125125 + 3.25x = 42 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 -2.125125 + 3.25x = 42 + 0.0 -2.125125 + 3.25x = 42 Add '2.125125' to each side of the equation. -2.125125 + 2.125125 + 3.25x = 42 + 2.125125 Combine like terms: -2.125125 + 2.125125 = 0.000000 0.000000 + 3.25x = 42 + 2.125125 3.25x = 42 + 2.125125 Combine like terms: 42 + 2.125125 = 44.125125 3.25x = 44.125125 Divide each side by '3.25'. x = 13.57696154 Simplifying x = 13.57696154
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