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Simplifying 0.5((3x + -2) + -1(x + 6)) = 34 Reorder the terms: 0.5((-2 + 3x) + -1(x + 6)) = 34 Remove parenthesis around (-2 + 3x) 0.5(-2 + 3x + -1(x + 6)) = 34 Reorder the terms: 0.5(-2 + 3x + -1(6 + x)) = 34 0.5(-2 + 3x + (6 * -1 + x * -1)) = 34 0.5(-2 + 3x + (-6 + -1x)) = 34 Reorder the terms: 0.5(-2 + -6 + 3x + -1x) = 34 Combine like terms: -2 + -6 = -8 0.5(-8 + 3x + -1x) = 34 Combine like terms: 3x + -1x = 2x 0.5(-8 + 2x) = 34 (-8 * 0.5 + 2x * 0.5) = 34 (-4 + 1x) = 34 Solving -4 + 1x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1x = 34 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 34 + 4 1x = 34 + 4 Combine like terms: 34 + 4 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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