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Simplifying 9(6 + -1x) + -36 = 9(6 + x) (6 * 9 + -1x * 9) + -36 = 9(6 + x) (54 + -9x) + -36 = 9(6 + x) Reorder the terms: 54 + -36 + -9x = 9(6 + x) Combine like terms: 54 + -36 = 18 18 + -9x = 9(6 + x) 18 + -9x = (6 * 9 + x * 9) 18 + -9x = (54 + 9x) Solving 18 + -9x = 54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18 + -9x + -9x = 54 + 9x + -9x Combine like terms: -9x + -9x = -18x 18 + -18x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -18x = 54 + 0 18 + -18x = 54 Add '-18' to each side of the equation. 18 + -18 + -18x = 54 + -18 Combine like terms: 18 + -18 = 0 0 + -18x = 54 + -18 -18x = 54 + -18 Combine like terms: 54 + -18 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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