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Simplifying 7(x + -2) + 10(3x + -7) = -84 Reorder the terms: 7(-2 + x) + 10(3x + -7) = -84 (-2 * 7 + x * 7) + 10(3x + -7) = -84 (-14 + 7x) + 10(3x + -7) = -84 Reorder the terms: -14 + 7x + 10(-7 + 3x) = -84 -14 + 7x + (-7 * 10 + 3x * 10) = -84 -14 + 7x + (-70 + 30x) = -84 Reorder the terms: -14 + -70 + 7x + 30x = -84 Combine like terms: -14 + -70 = -84 -84 + 7x + 30x = -84 Combine like terms: 7x + 30x = 37x -84 + 37x = -84 Add '84' to each side of the equation. -84 + 84 + 37x = -84 + 84 Combine like terms: -84 + 84 = 0 0 + 37x = -84 + 84 37x = -84 + 84 Combine like terms: -84 + 84 = 0 37x = 0 Solving 37x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '37'. x = 0 Simplifying x = 0
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