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Simplifying 45 = 5(x + -6) Reorder the terms: 45 = 5(-6 + x) 45 = (-6 * 5 + x * 5) 45 = (-30 + 5x) Solving 45 = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + -5x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + -5x = -30 + 0 45 + -5x = -30 Add '-45' to each side of the equation. 45 + -45 + -5x = -30 + -45 Combine like terms: 45 + -45 = 0 0 + -5x = -30 + -45 -5x = -30 + -45 Combine like terms: -30 + -45 = -75 -5x = -75 Divide each side by '-5'. x = 15 Simplifying x = 15
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