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Simplifying 0.5(3x + -1) = 5x + 33 Reorder the terms: 0.5(-1 + 3x) = 5x + 33 (-1 * 0.5 + 3x * 0.5) = 5x + 33 (-0.5 + 1.5x) = 5x + 33 Reorder the terms: -0.5 + 1.5x = 33 + 5x Solving -0.5 + 1.5x = 33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -0.5 + 1.5x + -5x = 33 + 5x + -5x Combine like terms: 1.5x + -5x = -3.5x -0.5 + -3.5x = 33 + 5x + -5x Combine like terms: 5x + -5x = 0 -0.5 + -3.5x = 33 + 0 -0.5 + -3.5x = 33 Add '0.5' to each side of the equation. -0.5 + 0.5 + -3.5x = 33 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -3.5x = 33 + 0.5 -3.5x = 33 + 0.5 Combine like terms: 33 + 0.5 = 33.5 -3.5x = 33.5 Divide each side by '-3.5'. x = -9.571428571 Simplifying x = -9.571428571
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