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Simplifying 14[-2(x + 3)] = -20(5x + -3) Reorder the terms: 14[-2(3 + x)] = -20(5x + -3) 14[(3 * -2 + x * -2)] = -20(5x + -3) 14[(-6 + -2x)] = -20(5x + -3) [-6 * 14 + -2x * 14] = -20(5x + -3) [-84 + -28x] = -20(5x + -3) Reorder the terms: -84 + -28x = -20(-3 + 5x) -84 + -28x = (-3 * -20 + 5x * -20) -84 + -28x = (60 + -100x) Solving -84 + -28x = 60 + -100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100x' to each side of the equation. -84 + -28x + 100x = 60 + -100x + 100x Combine like terms: -28x + 100x = 72x -84 + 72x = 60 + -100x + 100x Combine like terms: -100x + 100x = 0 -84 + 72x = 60 + 0 -84 + 72x = 60 Add '84' to each side of the equation. -84 + 84 + 72x = 60 + 84 Combine like terms: -84 + 84 = 0 0 + 72x = 60 + 84 72x = 60 + 84 Combine like terms: 60 + 84 = 144 72x = 144 Divide each side by '72'. x = 2 Simplifying x = 2
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