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Simplifying 84 + (5x + -9) = (-2 + 12x) Reorder the terms: 84 + (-9 + 5x) = (-2 + 12x) Remove parenthesis around (-9 + 5x) 84 + -9 + 5x = (-2 + 12x) Combine like terms: 84 + -9 = 75 75 + 5x = (-2 + 12x) Remove parenthesis around (-2 + 12x) 75 + 5x = -2 + 12x Solving 75 + 5x = -2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 75 + 5x + -12x = -2 + 12x + -12x Combine like terms: 5x + -12x = -7x 75 + -7x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 75 + -7x = -2 + 0 75 + -7x = -2 Add '-75' to each side of the equation. 75 + -75 + -7x = -2 + -75 Combine like terms: 75 + -75 = 0 0 + -7x = -2 + -75 -7x = -2 + -75 Combine like terms: -2 + -75 = -77 -7x = -77 Divide each side by '-7'. x = 11 Simplifying x = 11
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