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Simplifying 10(x + -7) + -7(x + 2) = 0 Reorder the terms: 10(-7 + x) + -7(x + 2) = 0 (-7 * 10 + x * 10) + -7(x + 2) = 0 (-70 + 10x) + -7(x + 2) = 0 Reorder the terms: -70 + 10x + -7(2 + x) = 0 -70 + 10x + (2 * -7 + x * -7) = 0 -70 + 10x + (-14 + -7x) = 0 Reorder the terms: -70 + -14 + 10x + -7x = 0 Combine like terms: -70 + -14 = -84 -84 + 10x + -7x = 0 Combine like terms: 10x + -7x = 3x -84 + 3x = 0 Solving -84 + 3x = 0 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 + 3x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 3x = 0 + 84 3x = 0 + 84 Combine like terms: 0 + 84 = 84 3x = 84 Divide each side by '3'. x = 28 Simplifying x = 28
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