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Simplifying -2(5 + -1x) = 4(x + -6) (5 * -2 + -1x * -2) = 4(x + -6) (-10 + 2x) = 4(x + -6) Reorder the terms: -10 + 2x = 4(-6 + x) -10 + 2x = (-6 * 4 + x * 4) -10 + 2x = (-24 + 4x) Solving -10 + 2x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 2x + -4x = -24 + 4x + -4x Combine like terms: 2x + -4x = -2x -10 + -2x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -2x = -24 + 0 -10 + -2x = -24 Add '10' to each side of the equation. -10 + 10 + -2x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -24 + 10 -2x = -24 + 10 Combine like terms: -24 + 10 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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