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Simplifying 7(x + -6) + 6 = x + 9 Reorder the terms: 7(-6 + x) + 6 = x + 9 (-6 * 7 + x * 7) + 6 = x + 9 (-42 + 7x) + 6 = x + 9 Reorder the terms: -42 + 6 + 7x = x + 9 Combine like terms: -42 + 6 = -36 -36 + 7x = x + 9 Reorder the terms: -36 + 7x = 9 + x Solving -36 + 7x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -36 + 7x + -1x = 9 + x + -1x Combine like terms: 7x + -1x = 6x -36 + 6x = 9 + x + -1x Combine like terms: x + -1x = 0 -36 + 6x = 9 + 0 -36 + 6x = 9 Add '36' to each side of the equation. -36 + 36 + 6x = 9 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 9 + 36 6x = 9 + 36 Combine like terms: 9 + 36 = 45 6x = 45 Divide each side by '6'. x = 7.5 Simplifying x = 7.5
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