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Simplifying 7(x + -6) = 14 + -7x Reorder the terms: 7(-6 + x) = 14 + -7x (-6 * 7 + x * 7) = 14 + -7x (-42 + 7x) = 14 + -7x Solving -42 + 7x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -42 + 7x + 7x = 14 + -7x + 7x Combine like terms: 7x + 7x = 14x -42 + 14x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + 14x = 14 + 0 -42 + 14x = 14 Add '42' to each side of the equation. -42 + 42 + 14x = 14 + 42 Combine like terms: -42 + 42 = 0 0 + 14x = 14 + 42 14x = 14 + 42 Combine like terms: 14 + 42 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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