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Simplifying 0.5(x + -70) + -0.15(x + -50) = -35.5 Reorder the terms: 0.5(-70 + x) + -0.15(x + -50) = -35.5 (-70 * 0.5 + x * 0.5) + -0.15(x + -50) = -35.5 (-35 + 0.5x) + -0.15(x + -50) = -35.5 Reorder the terms: -35 + 0.5x + -0.15(-50 + x) = -35.5 -35 + 0.5x + (-50 * -0.15 + x * -0.15) = -35.5 -35 + 0.5x + (7.5 + -0.15x) = -35.5 Reorder the terms: -35 + 7.5 + 0.5x + -0.15x = -35.5 Combine like terms: -35 + 7.5 = -27.5 -27.5 + 0.5x + -0.15x = -35.5 Combine like terms: 0.5x + -0.15x = 0.35x -27.5 + 0.35x = -35.5 Solving -27.5 + 0.35x = -35.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27.5' to each side of the equation. -27.5 + 27.5 + 0.35x = -35.5 + 27.5 Combine like terms: -27.5 + 27.5 = 0.0 0.0 + 0.35x = -35.5 + 27.5 0.35x = -35.5 + 27.5 Combine like terms: -35.5 + 27.5 = -8 0.35x = -8 Divide each side by '0.35'. x = -22.85714286 Simplifying x = -22.85714286
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