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Simplifying 2(x + -4) + -7(x + 2) = -2(x + 11) Reorder the terms: 2(-4 + x) + -7(x + 2) = -2(x + 11) (-4 * 2 + x * 2) + -7(x + 2) = -2(x + 11) (-8 + 2x) + -7(x + 2) = -2(x + 11) Reorder the terms: -8 + 2x + -7(2 + x) = -2(x + 11) -8 + 2x + (2 * -7 + x * -7) = -2(x + 11) -8 + 2x + (-14 + -7x) = -2(x + 11) Reorder the terms: -8 + -14 + 2x + -7x = -2(x + 11) Combine like terms: -8 + -14 = -22 -22 + 2x + -7x = -2(x + 11) Combine like terms: 2x + -7x = -5x -22 + -5x = -2(x + 11) Reorder the terms: -22 + -5x = -2(11 + x) -22 + -5x = (11 * -2 + x * -2) -22 + -5x = (-22 + -2x) Add '22' to each side of the equation. -22 + 22 + -5x = -22 + 22 + -2x Combine like terms: -22 + 22 = 0 0 + -5x = -22 + 22 + -2x -5x = -22 + 22 + -2x Combine like terms: -22 + 22 = 0 -5x = 0 + -2x -5x = -2x Solving -5x = -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. -5x + 2x = -2x + 2x Combine like terms: -5x + 2x = -3x -3x = -2x + 2x Combine like terms: -2x + 2x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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