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Simplifying 0.5(5x + -7x) = 8 + -1(4x + 6) Combine like terms: 5x + -7x = -2x 0.5(-2x) = 8 + -1(4x + 6) Remove parenthesis around (-2x) 0.5 * -2x = 8 + -1(4x + 6) Multiply 0.5 * -2 -1x = 8 + -1(4x + 6) Reorder the terms: -1x = 8 + -1(6 + 4x) -1x = 8 + (6 * -1 + 4x * -1) -1x = 8 + (-6 + -4x) Combine like terms: 8 + -6 = 2 -1x = 2 + -4x Solving -1x = 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. -1x + 4x = 2 + -4x + 4x Combine like terms: -1x + 4x = 3x 3x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 3x = 2 + 0 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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