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Simplifying -45 = 6x + -3(-2x + -13) Reorder the terms: -45 = 6x + -3(-13 + -2x) -45 = 6x + (-13 * -3 + -2x * -3) -45 = 6x + (39 + 6x) Reorder the terms: -45 = 39 + 6x + 6x Combine like terms: 6x + 6x = 12x -45 = 39 + 12x Solving -45 = 39 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -45 + -12x = 39 + 12x + -12x Combine like terms: 12x + -12x = 0 -45 + -12x = 39 + 0 -45 + -12x = 39 Add '45' to each side of the equation. -45 + 45 + -12x = 39 + 45 Combine like terms: -45 + 45 = 0 0 + -12x = 39 + 45 -12x = 39 + 45 Combine like terms: 39 + 45 = 84 -12x = 84 Divide each side by '-12'. x = -7 Simplifying x = -7
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