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Simplifying -84 = -2x + -5(4x + -14) Reorder the terms: -84 = -2x + -5(-14 + 4x) -84 = -2x + (-14 * -5 + 4x * -5) -84 = -2x + (70 + -20x) Reorder the terms: -84 = 70 + -2x + -20x Combine like terms: -2x + -20x = -22x -84 = 70 + -22x Solving -84 = 70 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -84 + 22x = 70 + -22x + 22x Combine like terms: -22x + 22x = 0 -84 + 22x = 70 + 0 -84 + 22x = 70 Add '84' to each side of the equation. -84 + 84 + 22x = 70 + 84 Combine like terms: -84 + 84 = 0 0 + 22x = 70 + 84 22x = 70 + 84 Combine like terms: 70 + 84 = 154 22x = 154 Divide each side by '22'. x = 7 Simplifying x = 7
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