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Simplifying 6 * 9 + -1(3 + -1x) = 6 + -9(x + -2) Multiply 6 * 9 54 + -1(3 + -1x) = 6 + -9(x + -2) 54 + (3 * -1 + -1x * -1) = 6 + -9(x + -2) 54 + (-3 + 1x) = 6 + -9(x + -2) Combine like terms: 54 + -3 = 51 51 + 1x = 6 + -9(x + -2) Reorder the terms: 51 + 1x = 6 + -9(-2 + x) 51 + 1x = 6 + (-2 * -9 + x * -9) 51 + 1x = 6 + (18 + -9x) Combine like terms: 6 + 18 = 24 51 + 1x = 24 + -9x Solving 51 + 1x = 24 + -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. 51 + 1x + 9x = 24 + -9x + 9x Combine like terms: 1x + 9x = 10x 51 + 10x = 24 + -9x + 9x Combine like terms: -9x + 9x = 0 51 + 10x = 24 + 0 51 + 10x = 24 Add '-51' to each side of the equation. 51 + -51 + 10x = 24 + -51 Combine like terms: 51 + -51 = 0 0 + 10x = 24 + -51 10x = 24 + -51 Combine like terms: 24 + -51 = -27 10x = -27 Divide each side by '10'. x = -2.7 Simplifying x = -2.7
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