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Simplifying 14(x + -5) + -7(x + 2) = -14 Reorder the terms: 14(-5 + x) + -7(x + 2) = -14 (-5 * 14 + x * 14) + -7(x + 2) = -14 (-70 + 14x) + -7(x + 2) = -14 Reorder the terms: -70 + 14x + -7(2 + x) = -14 -70 + 14x + (2 * -7 + x * -7) = -14 -70 + 14x + (-14 + -7x) = -14 Reorder the terms: -70 + -14 + 14x + -7x = -14 Combine like terms: -70 + -14 = -84 -84 + 14x + -7x = -14 Combine like terms: 14x + -7x = 7x -84 + 7x = -14 Solving -84 + 7x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 7x = -14 + 84 Combine like terms: -84 + 84 = 0 0 + 7x = -14 + 84 7x = -14 + 84 Combine like terms: -14 + 84 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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