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Simplifying -1(4x + -2) = 11(x + -2) + -9x Reorder the terms: -1(-2 + 4x) = 11(x + -2) + -9x (-2 * -1 + 4x * -1) = 11(x + -2) + -9x (2 + -4x) = 11(x + -2) + -9x Reorder the terms: 2 + -4x = 11(-2 + x) + -9x 2 + -4x = (-2 * 11 + x * 11) + -9x 2 + -4x = (-22 + 11x) + -9x Combine like terms: 11x + -9x = 2x 2 + -4x = -22 + 2x Solving 2 + -4x = -22 + 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. 2 + -4x + -2x = -22 + 2x + -2x Combine like terms: -4x + -2x = -6x 2 + -6x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -6x = -22 + 0 2 + -6x = -22 Add '-2' to each side of the equation. 2 + -2 + -6x = -22 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -22 + -2 -6x = -22 + -2 Combine like terms: -22 + -2 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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