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Simplifying -45 + -2x = 75 + 6x Solving -45 + -2x = 75 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -45 + -2x + -6x = 75 + 6x + -6x Combine like terms: -2x + -6x = -8x -45 + -8x = 75 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + -8x = 75 + 0 -45 + -8x = 75 Add '45' to each side of the equation. -45 + 45 + -8x = 75 + 45 Combine like terms: -45 + 45 = 0 0 + -8x = 75 + 45 -8x = 75 + 45 Combine like terms: 75 + 45 = 120 -8x = 120 Divide each side by '-8'. x = -15 Simplifying x = -15
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