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Simplifying 5(x + 3) + 2(x + 1) = -14(2x + 4) Reorder the terms: 5(3 + x) + 2(x + 1) = -14(2x + 4) (3 * 5 + x * 5) + 2(x + 1) = -14(2x + 4) (15 + 5x) + 2(x + 1) = -14(2x + 4) Reorder the terms: 15 + 5x + 2(1 + x) = -14(2x + 4) 15 + 5x + (1 * 2 + x * 2) = -14(2x + 4) 15 + 5x + (2 + 2x) = -14(2x + 4) Reorder the terms: 15 + 2 + 5x + 2x = -14(2x + 4) Combine like terms: 15 + 2 = 17 17 + 5x + 2x = -14(2x + 4) Combine like terms: 5x + 2x = 7x 17 + 7x = -14(2x + 4) Reorder the terms: 17 + 7x = -14(4 + 2x) 17 + 7x = (4 * -14 + 2x * -14) 17 + 7x = (-56 + -28x) Solving 17 + 7x = -56 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 17 + 7x + 28x = -56 + -28x + 28x Combine like terms: 7x + 28x = 35x 17 + 35x = -56 + -28x + 28x Combine like terms: -28x + 28x = 0 17 + 35x = -56 + 0 17 + 35x = -56 Add '-17' to each side of the equation. 17 + -17 + 35x = -56 + -17 Combine like terms: 17 + -17 = 0 0 + 35x = -56 + -17 35x = -56 + -17 Combine like terms: -56 + -17 = -73 35x = -73 Divide each side by '35'. x = -2.085714286 Simplifying x = -2.085714286
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