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Simplifying 0.5(3x + -35) = 5x Reorder the terms: 0.5(-35 + 3x) = 5x (-35 * 0.5 + 3x * 0.5) = 5x (-17.5 + 1.5x) = 5x Solving -17.5 + 1.5x = 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. -17.5 + 1.5x + -5x = 5x + -5x Combine like terms: 1.5x + -5x = -3.5x -17.5 + -3.5x = 5x + -5x Combine like terms: 5x + -5x = 0 -17.5 + -3.5x = 0 Add '17.5' to each side of the equation. -17.5 + 17.5 + -3.5x = 0 + 17.5 Combine like terms: -17.5 + 17.5 = 0.0 0.0 + -3.5x = 0 + 17.5 -3.5x = 0 + 17.5 Combine like terms: 0 + 17.5 = 17.5 -3.5x = 17.5 Divide each side by '-3.5'. x = -5 Simplifying x = -5
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