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Simplifying 7(x + -6) = 9 + 6x Reorder the terms: 7(-6 + x) = 9 + 6x (-6 * 7 + x * 7) = 9 + 6x (-42 + 7x) = 9 + 6x Solving -42 + 7x = 9 + 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 = 9 + 6x + -6x Combine like terms: 7x + -6x = 1x -42 + 1x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 1x = 9 + 0 -42 + 1x = 9 Add '42' to each side of the equation. -42 + 42 + 1x = 9 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = 9 + 42 1x = 9 + 42 Combine like terms: 9 + 42 = 51 1x = 51 Divide each side by '1'. x = 51 Simplifying x = 51
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