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Simplifying -12x + -45 = -7x + -9 + 13x Reorder the terms: -45 + -12x = -7x + -9 + 13x Reorder the terms: -45 + -12x = -9 + -7x + 13x Combine like terms: -7x + 13x = 6x -45 + -12x = -9 + 6x Solving -45 + -12x = -9 + 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 + -12x + -6x = -9 + 6x + -6x Combine like terms: -12x + -6x = -18x -45 + -18x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + -18x = -9 + 0 -45 + -18x = -9 Add '45' to each side of the equation. -45 + 45 + -18x = -9 + 45 Combine like terms: -45 + 45 = 0 0 + -18x = -9 + 45 -18x = -9 + 45 Combine like terms: -9 + 45 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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