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Simplifying -84 = 7x + 7(-3x + -2) Reorder the terms: -84 = 7x + 7(-2 + -3x) -84 = 7x + (-2 * 7 + -3x * 7) -84 = 7x + (-14 + -21x) Reorder the terms: -84 = -14 + 7x + -21x Combine like terms: 7x + -21x = -14x -84 = -14 + -14x Solving -84 = -14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -84 + 14x = -14 + -14x + 14x Combine like terms: -14x + 14x = 0 -84 + 14x = -14 + 0 -84 + 14x = -14 Add '84' to each side of the equation. -84 + 84 + 14x = -14 + 84 Combine like terms: -84 + 84 = 0 0 + 14x = -14 + 84 14x = -14 + 84 Combine like terms: -14 + 84 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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