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Simplifying 2(2 + -3x) = 5 + -2(1 + -4x) (2 * 2 + -3x * 2) = 5 + -2(1 + -4x) (4 + -6x) = 5 + -2(1 + -4x) 4 + -6x = 5 + (1 * -2 + -4x * -2) 4 + -6x = 5 + (-2 + 8x) Combine like terms: 5 + -2 = 3 4 + -6x = 3 + 8x Solving 4 + -6x = 3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + -6x + -8x = 3 + 8x + -8x Combine like terms: -6x + -8x = -14x 4 + -14x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -14x = 3 + 0 4 + -14x = 3 Add '-4' to each side of the equation. 4 + -4 + -14x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = 3 + -4 -14x = 3 + -4 Combine like terms: 3 + -4 = -1 -14x = -1 Divide each side by '-14'. x = 0.07142857143 Simplifying x = 0.07142857143
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