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Simplifying -2(x + 4) + 2(3 + -2x) = 2(x + 11) Reorder the terms: -2(4 + x) + 2(3 + -2x) = 2(x + 11) (4 * -2 + x * -2) + 2(3 + -2x) = 2(x + 11) (-8 + -2x) + 2(3 + -2x) = 2(x + 11) -8 + -2x + (3 * 2 + -2x * 2) = 2(x + 11) -8 + -2x + (6 + -4x) = 2(x + 11) Reorder the terms: -8 + 6 + -2x + -4x = 2(x + 11) Combine like terms: -8 + 6 = -2 -2 + -2x + -4x = 2(x + 11) Combine like terms: -2x + -4x = -6x -2 + -6x = 2(x + 11) Reorder the terms: -2 + -6x = 2(11 + x) -2 + -6x = (11 * 2 + x * 2) -2 + -6x = (22 + 2x) Solving -2 + -6x = 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 + -6x + -2x = 22 + 2x + -2x Combine like terms: -6x + -2x = -8x -2 + -8x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -8x = 22 + 0 -2 + -8x = 22 Add '2' to each side of the equation. -2 + 2 + -8x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 22 + 2 -8x = 22 + 2 Combine like terms: 22 + 2 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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