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Simplifying 0.66(2x + -5) = 0.75(x + -2) Reorder the terms: 0.66(-5 + 2x) = 0.75(x + -2) (-5 * 0.66 + 2x * 0.66) = 0.75(x + -2) (-3.3 + 1.32x) = 0.75(x + -2) Reorder the terms: -3.3 + 1.32x = 0.75(-2 + x) -3.3 + 1.32x = (-2 * 0.75 + x * 0.75) -3.3 + 1.32x = (-1.5 + 0.75x) Solving -3.3 + 1.32x = -1.5 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -3.3 + 1.32x + -0.75x = -1.5 + 0.75x + -0.75x Combine like terms: 1.32x + -0.75x = 0.57x -3.3 + 0.57x = -1.5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -3.3 + 0.57x = -1.5 + 0.00 -3.3 + 0.57x = -1.5 Add '3.3' to each side of the equation. -3.3 + 3.3 + 0.57x = -1.5 + 3.3 Combine like terms: -3.3 + 3.3 = 0.0 0.0 + 0.57x = -1.5 + 3.3 0.57x = -1.5 + 3.3 Combine like terms: -1.5 + 3.3 = 1.8 0.57x = 1.8 Divide each side by '0.57'. x = 3.157894737 Simplifying x = 3.157894737
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