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Simplifying 2(4x + 2) = 4x + -11(x + -1) Reorder the terms: 2(2 + 4x) = 4x + -11(x + -1) (2 * 2 + 4x * 2) = 4x + -11(x + -1) (4 + 8x) = 4x + -11(x + -1) Reorder the terms: 4 + 8x = 4x + -11(-1 + x) 4 + 8x = 4x + (-1 * -11 + x * -11) 4 + 8x = 4x + (11 + -11x) Reorder the terms: 4 + 8x = 11 + 4x + -11x Combine like terms: 4x + -11x = -7x 4 + 8x = 11 + -7x Solving 4 + 8x = 11 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + 8x + 7x = 11 + -7x + 7x Combine like terms: 8x + 7x = 15x 4 + 15x = 11 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 15x = 11 + 0 4 + 15x = 11 Add '-4' to each side of the equation. 4 + -4 + 15x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 15x = 11 + -4 15x = 11 + -4 Combine like terms: 11 + -4 = 7 15x = 7 Divide each side by '15'. x = 0.4666666667 Simplifying x = 0.4666666667
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