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Simplifying 5(x + 3) + -1(2x + -9) = 4 Reorder the terms: 5(3 + x) + -1(2x + -9) = 4 (3 * 5 + x * 5) + -1(2x + -9) = 4 (15 + 5x) + -1(2x + -9) = 4 Reorder the terms: 15 + 5x + -1(-9 + 2x) = 4 15 + 5x + (-9 * -1 + 2x * -1) = 4 15 + 5x + (9 + -2x) = 4 Reorder the terms: 15 + 9 + 5x + -2x = 4 Combine like terms: 15 + 9 = 24 24 + 5x + -2x = 4 Combine like terms: 5x + -2x = 3x 24 + 3x = 4 Solving 24 + 3x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 4 + -24 3x = 4 + -24 Combine like terms: 4 + -24 = -20 3x = -20 Divide each side by '3'. x = -6.666666667 Simplifying x = -6.666666667
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