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Simplifying 2x + 4 = 0.5[(x + 20) + -10] Reorder the terms: 4 + 2x = 0.5[(x + 20) + -10] Reorder the terms: 4 + 2x = 0.5[(20 + x) + -10] Remove parenthesis around (20 + x) 4 + 2x = 0.5[20 + x + -10] Reorder the terms: 4 + 2x = 0.5[20 + -10 + x] Combine like terms: 20 + -10 = 10 4 + 2x = 0.5[10 + x] 4 + 2x = [10 * 0.5 + x * 0.5] 4 + 2x = [5 + 0.5x] Solving 4 + 2x = 5 + 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. 4 + 2x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x 4 + 1.5x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 4 + 1.5x = 5 + 0.0 4 + 1.5x = 5 Add '-4' to each side of the equation. 4 + -4 + 1.5x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1.5x = 5 + -4 1.5x = 5 + -4 Combine like terms: 5 + -4 = 1 1.5x = 1 Divide each side by '1.5'. x = 0.6666666667 Simplifying x = 0.6666666667
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