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Simplifying -378 = 6(7x + -21) Reorder the terms: -378 = 6(-21 + 7x) -378 = (-21 * 6 + 7x * 6) -378 = (-126 + 42x) Solving -378 = -126 + 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 = -126 + 42x + -42x Combine like terms: 42x + -42x = 0 -378 + -42x = -126 + 0 -378 + -42x = -126 Add '378' to each side of the equation. -378 + 378 + -42x = -126 + 378 Combine like terms: -378 + 378 = 0 0 + -42x = -126 + 378 -42x = -126 + 378 Combine like terms: -126 + 378 = 252 -42x = 252 Divide each side by '-42'. x = -6 Simplifying x = -6
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