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Simplifying 6(7x + -7) = 16 + -10 Reorder the terms: 6(-7 + 7x) = 16 + -10 (-7 * 6 + 7x * 6) = 16 + -10 (-42 + 42x) = 16 + -10 Combine like terms: 16 + -10 = 6 -42 + 42x = 6 Solving -42 + 42x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 42x = 6 + 42 Combine like terms: -42 + 42 = 0 0 + 42x = 6 + 42 42x = 6 + 42 Combine like terms: 6 + 42 = 48 42x = 48 Divide each side by '42'. x = 1.142857143 Simplifying x = 1.142857143
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