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Simplifying 4 + -4(x + -5) = 2(2 + -1x) + -6 Reorder the terms: 4 + -4(-5 + x) = 2(2 + -1x) + -6 4 + (-5 * -4 + x * -4) = 2(2 + -1x) + -6 4 + (20 + -4x) = 2(2 + -1x) + -6 Combine like terms: 4 + 20 = 24 24 + -4x = 2(2 + -1x) + -6 24 + -4x = (2 * 2 + -1x * 2) + -6 24 + -4x = (4 + -2x) + -6 Reorder the terms: 24 + -4x = 4 + -6 + -2x Combine like terms: 4 + -6 = -2 24 + -4x = -2 + -2x Solving 24 + -4x = -2 + -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. 24 + -4x + 2x = -2 + -2x + 2x Combine like terms: -4x + 2x = -2x 24 + -2x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + -2x = -2 + 0 24 + -2x = -2 Add '-24' to each side of the equation. 24 + -24 + -2x = -2 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -2 + -24 -2x = -2 + -24 Combine like terms: -2 + -24 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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