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Simplifying 5(3x + 4) = 5 + -2(-13x + -18) + -9(-5x + -16) Reorder the terms: 5(4 + 3x) = 5 + -2(-13x + -18) + -9(-5x + -16) (4 * 5 + 3x * 5) = 5 + -2(-13x + -18) + -9(-5x + -16) (20 + 15x) = 5 + -2(-13x + -18) + -9(-5x + -16) Reorder the terms: 20 + 15x = 5 + -2(-18 + -13x) + -9(-5x + -16) 20 + 15x = 5 + (-18 * -2 + -13x * -2) + -9(-5x + -16) 20 + 15x = 5 + (36 + 26x) + -9(-5x + -16) Reorder the terms: 20 + 15x = 5 + 36 + 26x + -9(-16 + -5x) 20 + 15x = 5 + 36 + 26x + (-16 * -9 + -5x * -9) 20 + 15x = 5 + 36 + 26x + (144 + 45x) Reorder the terms: 20 + 15x = 5 + 36 + 144 + 26x + 45x Combine like terms: 5 + 36 = 41 20 + 15x = 41 + 144 + 26x + 45x Combine like terms: 41 + 144 = 185 20 + 15x = 185 + 26x + 45x Combine like terms: 26x + 45x = 71x 20 + 15x = 185 + 71x Solving 20 + 15x = 185 + 71x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-71x' to each side of the equation. 20 + 15x + -71x = 185 + 71x + -71x Combine like terms: 15x + -71x = -56x 20 + -56x = 185 + 71x + -71x Combine like terms: 71x + -71x = 0 20 + -56x = 185 + 0 20 + -56x = 185 Add '-20' to each side of the equation. 20 + -20 + -56x = 185 + -20 Combine like terms: 20 + -20 = 0 0 + -56x = 185 + -20 -56x = 185 + -20 Combine like terms: 185 + -20 = 165 -56x = 165 Divide each side by '-56'. x = -2.946428571 Simplifying x = -2.946428571
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