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Simplifying 84 = 7x + -7(2x + -20) Reorder the terms: 84 = 7x + -7(-20 + 2x) 84 = 7x + (-20 * -7 + 2x * -7) 84 = 7x + (140 + -14x) Reorder the terms: 84 = 140 + 7x + -14x Combine like terms: 7x + -14x = -7x 84 = 140 + -7x Solving 84 = 140 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 84 + 7x = 140 + -7x + 7x Combine like terms: -7x + 7x = 0 84 + 7x = 140 + 0 84 + 7x = 140 Add '-84' to each side of the equation. 84 + -84 + 7x = 140 + -84 Combine like terms: 84 + -84 = 0 0 + 7x = 140 + -84 7x = 140 + -84 Combine like terms: 140 + -84 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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