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Simplifying -3(2x + -5) = 0.5(-13x + 30) Reorder the terms: -3(-5 + 2x) = 0.5(-13x + 30) (-5 * -3 + 2x * -3) = 0.5(-13x + 30) (15 + -6x) = 0.5(-13x + 30) Reorder the terms: 15 + -6x = 0.5(30 + -13x) 15 + -6x = (30 * 0.5 + -13x * 0.5) 15 + -6x = (15 + -6.5x) Add '-15' to each side of the equation. 15 + -15 + -6x = 15 + -15 + -6.5x Combine like terms: 15 + -15 = 0 0 + -6x = 15 + -15 + -6.5x -6x = 15 + -15 + -6.5x Combine like terms: 15 + -15 = 0 -6x = 0 + -6.5x -6x = -6.5x Solving -6x = -6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.5x' to each side of the equation. -6x + 6.5x = -6.5x + 6.5x Combine like terms: -6x + 6.5x = 0.5x 0.5x = -6.5x + 6.5x Combine like terms: -6.5x + 6.5x = 0.0 0.5x = 0.0 Divide each side by '0.5'. x = 0 Simplifying x = 0
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