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Simplifying 14[-2(x + 3)] = -10(5x + -3) Reorder the terms: 14[-2(3 + x)] = -10(5x + -3) 14[(3 * -2 + x * -2)] = -10(5x + -3) 14[(-6 + -2x)] = -10(5x + -3) [-6 * 14 + -2x * 14] = -10(5x + -3) [-84 + -28x] = -10(5x + -3) Reorder the terms: -84 + -28x = -10(-3 + 5x) -84 + -28x = (-3 * -10 + 5x * -10) -84 + -28x = (30 + -50x) Solving -84 + -28x = 30 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. -84 + -28x + 50x = 30 + -50x + 50x Combine like terms: -28x + 50x = 22x -84 + 22x = 30 + -50x + 50x Combine like terms: -50x + 50x = 0 -84 + 22x = 30 + 0 -84 + 22x = 30 Add '84' to each side of the equation. -84 + 84 + 22x = 30 + 84 Combine like terms: -84 + 84 = 0 0 + 22x = 30 + 84 22x = 30 + 84 Combine like terms: 30 + 84 = 114 22x = 114 Divide each side by '22'. x = 5.181818182 Simplifying x = 5.181818182
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