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Simplifying 7(2x + -6) = 7x Reorder the terms: 7(-6 + 2x) = 7x (-6 * 7 + 2x * 7) = 7x (-42 + 14x) = 7x Solving -42 + 14x = 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 + 14x + -7x = 7x + -7x Combine like terms: 14x + -7x = 7x -42 + 7x = 7x + -7x Combine like terms: 7x + -7x = 0 -42 + 7x = 0 Add '42' to each side of the equation. -42 + 42 + 7x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 0 + 42 7x = 0 + 42 Combine like terms: 0 + 42 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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