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Simplifying 0.5(5x + -7) = 8 + -1(4x + 6) Reorder the terms: 0.5(-7 + 5x) = 8 + -1(4x + 6) (-7 * 0.5 + 5x * 0.5) = 8 + -1(4x + 6) (-3.5 + 2.5x) = 8 + -1(4x + 6) Reorder the terms: -3.5 + 2.5x = 8 + -1(6 + 4x) -3.5 + 2.5x = 8 + (6 * -1 + 4x * -1) -3.5 + 2.5x = 8 + (-6 + -4x) Combine like terms: 8 + -6 = 2 -3.5 + 2.5x = 2 + -4x Solving -3.5 + 2.5x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3.5 + 2.5x + 4x = 2 + -4x + 4x Combine like terms: 2.5x + 4x = 6.5x -3.5 + 6.5x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -3.5 + 6.5x = 2 + 0 -3.5 + 6.5x = 2 Add '3.5' to each side of the equation. -3.5 + 3.5 + 6.5x = 2 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 6.5x = 2 + 3.5 6.5x = 2 + 3.5 Combine like terms: 2 + 3.5 = 5.5 6.5x = 5.5 Divide each side by '6.5'. x = 0.8461538462 Simplifying x = 0.8461538462
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