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Simplifying 4(4 + -2x) = 14 + -11(1 + -2x) (4 * 4 + -2x * 4) = 14 + -11(1 + -2x) (16 + -8x) = 14 + -11(1 + -2x) 16 + -8x = 14 + (1 * -11 + -2x * -11) 16 + -8x = 14 + (-11 + 22x) Combine like terms: 14 + -11 = 3 16 + -8x = 3 + 22x Solving 16 + -8x = 3 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 16 + -8x + -22x = 3 + 22x + -22x Combine like terms: -8x + -22x = -30x 16 + -30x = 3 + 22x + -22x Combine like terms: 22x + -22x = 0 16 + -30x = 3 + 0 16 + -30x = 3 Add '-16' to each side of the equation. 16 + -16 + -30x = 3 + -16 Combine like terms: 16 + -16 = 0 0 + -30x = 3 + -16 -30x = 3 + -16 Combine like terms: 3 + -16 = -13 -30x = -13 Divide each side by '-30'. x = 0.4333333333 Simplifying x = 0.4333333333
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