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Simplifying 49(6x + -6) = 63(42) Reorder the terms: 49(-6 + 6x) = 63(42) (-6 * 49 + 6x * 49) = 63(42) (-294 + 294x) = 63(42) Multiply 63 * 42 -294 + 294x = 2646 Solving -294 + 294x = 2646 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '294' to each side of the equation. -294 + 294 + 294x = 2646 + 294 Combine like terms: -294 + 294 = 0 0 + 294x = 2646 + 294 294x = 2646 + 294 Combine like terms: 2646 + 294 = 2940 294x = 2940 Divide each side by '294'. x = 10 Simplifying x = 10
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