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Simplifying 2(2 + -5x) = 2(2x + 1) (2 * 2 + -5x * 2) = 2(2x + 1) (4 + -10x) = 2(2x + 1) Reorder the terms: 4 + -10x = 2(1 + 2x) 4 + -10x = (1 * 2 + 2x * 2) 4 + -10x = (2 + 4x) Solving 4 + -10x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + -10x + -4x = 2 + 4x + -4x Combine like terms: -10x + -4x = -14x 4 + -14x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -14x = 2 + 0 4 + -14x = 2 Add '-4' to each side of the equation. 4 + -4 + -14x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = 2 + -4 -14x = 2 + -4 Combine like terms: 2 + -4 = -2 -14x = -2 Divide each side by '-14'. x = 0.1428571429 Simplifying x = 0.1428571429
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