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Simplifying 0.5(3x + -2) + -1(x + 4) = 34 Reorder the terms: 0.5(-2 + 3x) + -1(x + 4) = 34 (-2 * 0.5 + 3x * 0.5) + -1(x + 4) = 34 (-1 + 1.5x) + -1(x + 4) = 34 Reorder the terms: -1 + 1.5x + -1(4 + x) = 34 -1 + 1.5x + (4 * -1 + x * -1) = 34 -1 + 1.5x + (-4 + -1x) = 34 Reorder the terms: -1 + -4 + 1.5x + -1x = 34 Combine like terms: -1 + -4 = -5 -5 + 1.5x + -1x = 34 Combine like terms: 1.5x + -1x = 0.5x -5 + 0.5x = 34 Solving -5 + 0.5x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 0.5x = 34 + 5 Combine like terms: -5 + 5 = 0 0 + 0.5x = 34 + 5 0.5x = 34 + 5 Combine like terms: 34 + 5 = 39 0.5x = 39 Divide each side by '0.5'. x = 78 Simplifying x = 78
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