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Simplifying -378 = 7(7x + -5) Reorder the terms: -378 = 7(-5 + 7x) -378 = (-5 * 7 + 7x * 7) -378 = (-35 + 49x) Solving -378 = -35 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. -378 + -49x = -35 + 49x + -49x Combine like terms: 49x + -49x = 0 -378 + -49x = -35 + 0 -378 + -49x = -35 Add '378' to each side of the equation. -378 + 378 + -49x = -35 + 378 Combine like terms: -378 + 378 = 0 0 + -49x = -35 + 378 -49x = -35 + 378 Combine like terms: -35 + 378 = 343 -49x = 343 Divide each side by '-49'. x = -7 Simplifying x = -7
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