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Simplifying 378 = -9(-5x + -7) Reorder the terms: 378 = -9(-7 + -5x) 378 = (-7 * -9 + -5x * -9) 378 = (63 + 45x) Solving 378 = 63 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 378 + -45x = 63 + 45x + -45x Combine like terms: 45x + -45x = 0 378 + -45x = 63 + 0 378 + -45x = 63 Add '-378' to each side of the equation. 378 + -378 + -45x = 63 + -378 Combine like terms: 378 + -378 = 0 0 + -45x = 63 + -378 -45x = 63 + -378 Combine like terms: 63 + -378 = -315 -45x = -315 Divide each side by '-45'. x = 7 Simplifying x = 7
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