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Simplifying 2(x + -5) + -4(2x + -4) = -2(x + -11) Reorder the terms: 2(-5 + x) + -4(2x + -4) = -2(x + -11) (-5 * 2 + x * 2) + -4(2x + -4) = -2(x + -11) (-10 + 2x) + -4(2x + -4) = -2(x + -11) Reorder the terms: -10 + 2x + -4(-4 + 2x) = -2(x + -11) -10 + 2x + (-4 * -4 + 2x * -4) = -2(x + -11) -10 + 2x + (16 + -8x) = -2(x + -11) Reorder the terms: -10 + 16 + 2x + -8x = -2(x + -11) Combine like terms: -10 + 16 = 6 6 + 2x + -8x = -2(x + -11) Combine like terms: 2x + -8x = -6x 6 + -6x = -2(x + -11) Reorder the terms: 6 + -6x = -2(-11 + x) 6 + -6x = (-11 * -2 + x * -2) 6 + -6x = (22 + -2x) Solving 6 + -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. 6 + -6x + 2x = 22 + -2x + 2x Combine like terms: -6x + 2x = -4x 6 + -4x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -4x = 22 + 0 6 + -4x = 22 Add '-6' to each side of the equation. 6 + -6 + -4x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 22 + -6 -4x = 22 + -6 Combine like terms: 22 + -6 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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