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Simplifying 7(x + 6) = 6x Reorder the terms: 7(6 + x) = 6x (6 * 7 + x * 7) = 6x (42 + 7x) = 6x Solving 42 + 7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x 42 + 1x = 6x + -6x Combine like terms: 6x + -6x = 0 42 + 1x = 0 Add '-42' to each side of the equation. 42 + -42 + 1x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 0 + -42 1x = 0 + -42 Combine like terms: 0 + -42 = -42 1x = -42 Divide each side by '1'. x = -42 Simplifying x = -42
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