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Simplifying 294 = 6(7x + -7) Reorder the terms: 294 = 6(-7 + 7x) 294 = (-7 * 6 + 7x * 6) 294 = (-42 + 42x) Solving 294 = -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. 294 + -42x = -42 + 42x + -42x Combine like terms: 42x + -42x = 0 294 + -42x = -42 + 0 294 + -42x = -42 Add '-294' to each side of the equation. 294 + -294 + -42x = -42 + -294 Combine like terms: 294 + -294 = 0 0 + -42x = -42 + -294 -42x = -42 + -294 Combine like terms: -42 + -294 = -336 -42x = -336 Divide each side by '-42'. x = 8 Simplifying x = 8
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