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Simplifying 5(x + 9) + -1(4 + -1x) = 12 Reorder the terms: 5(9 + x) + -1(4 + -1x) = 12 (9 * 5 + x * 5) + -1(4 + -1x) = 12 (45 + 5x) + -1(4 + -1x) = 12 45 + 5x + (4 * -1 + -1x * -1) = 12 45 + 5x + (-4 + 1x) = 12 Reorder the terms: 45 + -4 + 5x + 1x = 12 Combine like terms: 45 + -4 = 41 41 + 5x + 1x = 12 Combine like terms: 5x + 1x = 6x 41 + 6x = 12 Solving 41 + 6x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 6x = 12 + -41 Combine like terms: 41 + -41 = 0 0 + 6x = 12 + -41 6x = 12 + -41 Combine like terms: 12 + -41 = -29 6x = -29 Divide each side by '6'. x = -4.833333333 Simplifying x = -4.833333333
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