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Simplifying 11 + -1(-2 + -4x) = 2(x + 2) 11 + (-2 * -1 + -4x * -1) = 2(x + 2) 11 + (2 + 4x) = 2(x + 2) Combine like terms: 11 + 2 = 13 13 + 4x = 2(x + 2) Reorder the terms: 13 + 4x = 2(2 + x) 13 + 4x = (2 * 2 + x * 2) 13 + 4x = (4 + 2x) Solving 13 + 4x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + 4x + -2x = 4 + 2x + -2x Combine like terms: 4x + -2x = 2x 13 + 2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 2x = 4 + 0 13 + 2x = 4 Add '-13' to each side of the equation. 13 + -13 + 2x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 4 + -13 2x = 4 + -13 Combine like terms: 4 + -13 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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