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Simplifying 2x + 5 = 0.5(5x + -20) Reorder the terms: 5 + 2x = 0.5(5x + -20) Reorder the terms: 5 + 2x = 0.5(-20 + 5x) 5 + 2x = (-20 * 0.5 + 5x * 0.5) 5 + 2x = (-10 + 2.5x) Solving 5 + 2x = -10 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 5 + 2x + -2.5x = -10 + 2.5x + -2.5x Combine like terms: 2x + -2.5x = -0.5x 5 + -0.5x = -10 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 5 + -0.5x = -10 + 0.0 5 + -0.5x = -10 Add '-5' to each side of the equation. 5 + -5 + -0.5x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -0.5x = -10 + -5 -0.5x = -10 + -5 Combine like terms: -10 + -5 = -15 -0.5x = -15 Divide each side by '-0.5'. x = 30 Simplifying x = 30
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