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Simplifying 84 = 6(x + -7) Reorder the terms: 84 = 6(-7 + x) 84 = (-7 * 6 + x * 6) 84 = (-42 + 6x) Solving 84 = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 84 + -6x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 84 + -6x = -42 + 0 84 + -6x = -42 Add '-84' to each side of the equation. 84 + -84 + -6x = -42 + -84 Combine like terms: 84 + -84 = 0 0 + -6x = -42 + -84 -6x = -42 + -84 Combine like terms: -42 + -84 = -126 -6x = -126 Divide each side by '-6'. x = 21 Simplifying x = 21
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