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Simplifying 2.75(x + -0.5) = 3x + -0.4 Reorder the terms: 2.75(-0.5 + x) = 3x + -0.4 (-0.5 * 2.75 + x * 2.75) = 3x + -0.4 (-1.375 + 2.75x) = 3x + -0.4 Reorder the terms: -1.375 + 2.75x = -0.4 + 3x Solving -1.375 + 2.75x = -0.4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1.375 + 2.75x + -3x = -0.4 + 3x + -3x Combine like terms: 2.75x + -3x = -0.25x -1.375 + -0.25x = -0.4 + 3x + -3x Combine like terms: 3x + -3x = 0 -1.375 + -0.25x = -0.4 + 0 -1.375 + -0.25x = -0.4 Add '1.375' to each side of the equation. -1.375 + 1.375 + -0.25x = -0.4 + 1.375 Combine like terms: -1.375 + 1.375 = 0.000 0.000 + -0.25x = -0.4 + 1.375 -0.25x = -0.4 + 1.375 Combine like terms: -0.4 + 1.375 = 0.975 -0.25x = 0.975 Divide each side by '-0.25'. x = -3.9 Simplifying x = -3.9
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