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Simplifying 378 = 7(-6x + -6) Reorder the terms: 378 = 7(-6 + -6x) 378 = (-6 * 7 + -6x * 7) 378 = (-42 + -42x) Solving 378 = -42 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 378 + 42x = -42 + -42x + 42x Combine like terms: -42x + 42x = 0 378 + 42x = -42 + 0 378 + 42x = -42 Add '-378' to each side of the equation. 378 + -378 + 42x = -42 + -378 Combine like terms: 378 + -378 = 0 0 + 42x = -42 + -378 42x = -42 + -378 Combine like terms: -42 + -378 = -420 42x = -420 Divide each side by '42'. x = -10 Simplifying x = -10
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