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Simplifying -0.5(10x + 15) = 5x + -7.5 Reorder the terms: -0.5(15 + 10x) = 5x + -7.5 (15 * -0.5 + 10x * -0.5) = 5x + -7.5 (-7.5 + -5x) = 5x + -7.5 Reorder the terms: -7.5 + -5x = -7.5 + 5x Add '7.5' to each side of the equation. -7.5 + 7.5 + -5x = -7.5 + 7.5 + 5x Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -5x = -7.5 + 7.5 + 5x -5x = -7.5 + 7.5 + 5x Combine like terms: -7.5 + 7.5 = 0.0 -5x = 0.0 + 5x -5x = 5x Solving -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. -5x + -5x = 5x + -5x Combine like terms: -5x + -5x = -10x -10x = 5x + -5x Combine like terms: 5x + -5x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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