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Simplifying 84 = 7(x + 6) Reorder the terms: 84 = 7(6 + x) 84 = (6 * 7 + x * 7) 84 = (42 + 7x) Solving 84 = 42 + 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 = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 84 + -7x = 42 + 0 84 + -7x = 42 Add '-84' to each side of the equation. 84 + -84 + -7x = 42 + -84 Combine like terms: 84 + -84 = 0 0 + -7x = 42 + -84 -7x = 42 + -84 Combine like terms: 42 + -84 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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