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Simplifying 0.5(x + -3 + 2x + -4) = 30 Reorder the terms: 0.5(-3 + -4 + x + 2x) = 30 Combine like terms: -3 + -4 = -7 0.5(-7 + x + 2x) = 30 Combine like terms: x + 2x = 3x 0.5(-7 + 3x) = 30 (-7 * 0.5 + 3x * 0.5) = 30 (-3.5 + 1.5x) = 30 Solving -3.5 + 1.5x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + 1.5x = 30 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 1.5x = 30 + 3.5 1.5x = 30 + 3.5 Combine like terms: 30 + 3.5 = 33.5 1.5x = 33.5 Divide each side by '1.5'. x = 22.33333333 Simplifying x = 22.33333333
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