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Simplifying -4(x + 6) = -2x + -34 Reorder the terms: -4(6 + x) = -2x + -34 (6 * -4 + x * -4) = -2x + -34 (-24 + -4x) = -2x + -34 Reorder the terms: -24 + -4x = -34 + -2x Solving -24 + -4x = -34 + -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 = -34 + -2x + 2x Combine like terms: -4x + 2x = -2x -24 + -2x = -34 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + -2x = -34 + 0 -24 + -2x = -34 Add '24' to each side of the equation. -24 + 24 + -2x = -34 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -34 + 24 -2x = -34 + 24 Combine like terms: -34 + 24 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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