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Simplifying 6(7x + -7) + 10 = (-284) Reorder the terms: 6(-7 + 7x) + 10 = (-284) (-7 * 6 + 7x * 6) + 10 = (-284) (-42 + 42x) + 10 = (-284) Reorder the terms: -42 + 10 + 42x = (-284) Combine like terms: -42 + 10 = -32 -32 + 42x = (-284) -32 + 42x = -284 Solving -32 + 42x = -284 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 42x = -284 + 32 Combine like terms: -32 + 32 = 0 0 + 42x = -284 + 32 42x = -284 + 32 Combine like terms: -284 + 32 = -252 42x = -252 Divide each side by '42'. x = -6 Simplifying x = -6
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