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Simplifying 0.5(-7x) = 8 + -1(4x + 6) Remove parenthesis around (-7x) 0.5 * -7x = 8 + -1(4x + 6) Multiply 0.5 * -7 -3.5x = 8 + -1(4x + 6) Reorder the terms: -3.5x = 8 + -1(6 + 4x) -3.5x = 8 + (6 * -1 + 4x * -1) -3.5x = 8 + (-6 + -4x) Combine like terms: 8 + -6 = 2 -3.5x = 2 + -4x Solving -3.5x = 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. -3.5x + 4x = 2 + -4x + 4x Combine like terms: -3.5x + 4x = 0.5x 0.5x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 0.5x = 2 + 0 0.5x = 2 Divide each side by '0.5'. x = 4 Simplifying x = 4
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