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Simplifying 5(x + 1) + -1(2x + -9) = 4 Reorder the terms: 5(1 + x) + -1(2x + -9) = 4 (1 * 5 + x * 5) + -1(2x + -9) = 4 (5 + 5x) + -1(2x + -9) = 4 Reorder the terms: 5 + 5x + -1(-9 + 2x) = 4 5 + 5x + (-9 * -1 + 2x * -1) = 4 5 + 5x + (9 + -2x) = 4 Reorder the terms: 5 + 9 + 5x + -2x = 4 Combine like terms: 5 + 9 = 14 14 + 5x + -2x = 4 Combine like terms: 5x + -2x = 3x 14 + 3x = 4 Solving 14 + 3x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 4 + -14 3x = 4 + -14 Combine like terms: 4 + -14 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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