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Simplifying 84 + -7x = 11x + 20 Reorder the terms: 84 + -7x = 20 + 11x Solving 84 + -7x = 20 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 84 + -7x + -11x = 20 + 11x + -11x Combine like terms: -7x + -11x = -18x 84 + -18x = 20 + 11x + -11x Combine like terms: 11x + -11x = 0 84 + -18x = 20 + 0 84 + -18x = 20 Add '-84' to each side of the equation. 84 + -84 + -18x = 20 + -84 Combine like terms: 84 + -84 = 0 0 + -18x = 20 + -84 -18x = 20 + -84 Combine like terms: 20 + -84 = -64 -18x = -64 Divide each side by '-18'. x = 3.555555556 Simplifying x = 3.555555556
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