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Simplifying -0.5(x + -10) + 5x = 0.25(2x + -20) + 11 Reorder the terms: -0.5(-10 + x) + 5x = 0.25(2x + -20) + 11 (-10 * -0.5 + x * -0.5) + 5x = 0.25(2x + -20) + 11 (5 + -0.5x) + 5x = 0.25(2x + -20) + 11 Combine like terms: -0.5x + 5x = 4.5x 5 + 4.5x = 0.25(2x + -20) + 11 Reorder the terms: 5 + 4.5x = 0.25(-20 + 2x) + 11 5 + 4.5x = (-20 * 0.25 + 2x * 0.25) + 11 5 + 4.5x = (-5 + 0.5x) + 11 Reorder the terms: 5 + 4.5x = -5 + 11 + 0.5x Combine like terms: -5 + 11 = 6 5 + 4.5x = 6 + 0.5x Solving 5 + 4.5x = 6 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 5 + 4.5x + -0.5x = 6 + 0.5x + -0.5x Combine like terms: 4.5x + -0.5x = 4x 5 + 4x = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 4x = 6 + 0.0 5 + 4x = 6 Add '-5' to each side of the equation. 5 + -5 + 4x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 6 + -5 4x = 6 + -5 Combine like terms: 6 + -5 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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