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Simplifying -468 = 2x + -6(-5x + 14) Reorder the terms: -468 = 2x + -6(14 + -5x) -468 = 2x + (14 * -6 + -5x * -6) -468 = 2x + (-84 + 30x) Reorder the terms: -468 = -84 + 2x + 30x Combine like terms: 2x + 30x = 32x -468 = -84 + 32x Solving -468 = -84 + 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. -468 + -32x = -84 + 32x + -32x Combine like terms: 32x + -32x = 0 -468 + -32x = -84 + 0 -468 + -32x = -84 Add '468' to each side of the equation. -468 + 468 + -32x = -84 + 468 Combine like terms: -468 + 468 = 0 0 + -32x = -84 + 468 -32x = -84 + 468 Combine like terms: -84 + 468 = 384 -32x = 384 Divide each side by '-32'. x = -12 Simplifying x = -12
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