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Simplifying -6x + 4(-2x + -6) = -34 + -4x Reorder the terms: -6x + 4(-6 + -2x) = -34 + -4x -6x + (-6 * 4 + -2x * 4) = -34 + -4x -6x + (-24 + -8x) = -34 + -4x Reorder the terms: -24 + -6x + -8x = -34 + -4x Combine like terms: -6x + -8x = -14x -24 + -14x = -34 + -4x Solving -24 + -14x = -34 + -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. -24 + -14x + 4x = -34 + -4x + 4x Combine like terms: -14x + 4x = -10x -24 + -10x = -34 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + -10x = -34 + 0 -24 + -10x = -34 Add '24' to each side of the equation. -24 + 24 + -10x = -34 + 24 Combine like terms: -24 + 24 = 0 0 + -10x = -34 + 24 -10x = -34 + 24 Combine like terms: -34 + 24 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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