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Simplifying 0.5x + 10 = -3.5 + -2x Reorder the terms: 10 + 0.5x = -3.5 + -2x Solving 10 + 0.5x = -3.5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 0.5x + 2x = -3.5 + -2x + 2x Combine like terms: 0.5x + 2x = 2.5x 10 + 2.5x = -3.5 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 2.5x = -3.5 + 0 10 + 2.5x = -3.5 Add '-10' to each side of the equation. 10 + -10 + 2.5x = -3.5 + -10 Combine like terms: 10 + -10 = 0 0 + 2.5x = -3.5 + -10 2.5x = -3.5 + -10 Combine like terms: -3.5 + -10 = -13.5 2.5x = -13.5 Divide each side by '2.5'. x = -5.4 Simplifying x = -5.4
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