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Simplifying -2x + 6 = 4(-6 + -8x) Reorder the terms: 6 + -2x = 4(-6 + -8x) 6 + -2x = (-6 * 4 + -8x * 4) 6 + -2x = (-24 + -32x) Solving 6 + -2x = -24 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 6 + -2x + 32x = -24 + -32x + 32x Combine like terms: -2x + 32x = 30x 6 + 30x = -24 + -32x + 32x Combine like terms: -32x + 32x = 0 6 + 30x = -24 + 0 6 + 30x = -24 Add '-6' to each side of the equation. 6 + -6 + 30x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 30x = -24 + -6 30x = -24 + -6 Combine like terms: -24 + -6 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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