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Simplifying 0.5(5x + -7) = 8 + -3x Reorder the terms: 0.5(-7 + 5x) = 8 + -3x (-7 * 0.5 + 5x * 0.5) = 8 + -3x (-3.5 + 2.5x) = 8 + -3x Solving -3.5 + 2.5x = 8 + -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. -3.5 + 2.5x + 3x = 8 + -3x + 3x Combine like terms: 2.5x + 3x = 5.5x -3.5 + 5.5x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -3.5 + 5.5x = 8 + 0 -3.5 + 5.5x = 8 Add '3.5' to each side of the equation. -3.5 + 3.5 + 5.5x = 8 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 5.5x = 8 + 3.5 5.5x = 8 + 3.5 Combine like terms: 8 + 3.5 = 11.5 5.5x = 11.5 Divide each side by '5.5'. x = 2.090909091 Simplifying x = 2.090909091
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