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Simplifying -2x + -2(2 + -3x) = 2(x + -4) + -18 -2x + (2 * -2 + -3x * -2) = 2(x + -4) + -18 -2x + (-4 + 6x) = 2(x + -4) + -18 Reorder the terms: -4 + -2x + 6x = 2(x + -4) + -18 Combine like terms: -2x + 6x = 4x -4 + 4x = 2(x + -4) + -18 Reorder the terms: -4 + 4x = 2(-4 + x) + -18 -4 + 4x = (-4 * 2 + x * 2) + -18 -4 + 4x = (-8 + 2x) + -18 Reorder the terms: -4 + 4x = -8 + -18 + 2x Combine like terms: -8 + -18 = -26 -4 + 4x = -26 + 2x Solving -4 + 4x = -26 + 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. -4 + 4x + -2x = -26 + 2x + -2x Combine like terms: 4x + -2x = 2x -4 + 2x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 2x = -26 + 0 -4 + 2x = -26 Add '4' to each side of the equation. -4 + 4 + 2x = -26 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -26 + 4 2x = -26 + 4 Combine like terms: -26 + 4 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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