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Simplifying 4(1 + -2x) = 2(11 + -2x) (1 * 4 + -2x * 4) = 2(11 + -2x) (4 + -8x) = 2(11 + -2x) 4 + -8x = (11 * 2 + -2x * 2) 4 + -8x = (22 + -4x) Solving 4 + -8x = 22 + -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 + -8x + 4x = 22 + -4x + 4x Combine like terms: -8x + 4x = -4x 4 + -4x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + -4x = 22 + 0 4 + -4x = 22 Add '-4' to each side of the equation. 4 + -4 + -4x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 22 + -4 -4x = 22 + -4 Combine like terms: 22 + -4 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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