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Simplifying 2x + 6 = 4(2 + -5x) Reorder the terms: 6 + 2x = 4(2 + -5x) 6 + 2x = (2 * 4 + -5x * 4) 6 + 2x = (8 + -20x) Solving 6 + 2x = 8 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 6 + 2x + 20x = 8 + -20x + 20x Combine like terms: 2x + 20x = 22x 6 + 22x = 8 + -20x + 20x Combine like terms: -20x + 20x = 0 6 + 22x = 8 + 0 6 + 22x = 8 Add '-6' to each side of the equation. 6 + -6 + 22x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 22x = 8 + -6 22x = 8 + -6 Combine like terms: 8 + -6 = 2 22x = 2 Divide each side by '22'. x = 0.09090909091 Simplifying x = 0.09090909091
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