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Simplifying 84 + -1(5x + -9) = 5(x + 4) + x Reorder the terms: 84 + -1(-9 + 5x) = 5(x + 4) + x 84 + (-9 * -1 + 5x * -1) = 5(x + 4) + x 84 + (9 + -5x) = 5(x + 4) + x Combine like terms: 84 + 9 = 93 93 + -5x = 5(x + 4) + x Reorder the terms: 93 + -5x = 5(4 + x) + x 93 + -5x = (4 * 5 + x * 5) + x 93 + -5x = (20 + 5x) + x Combine like terms: 5x + x = 6x 93 + -5x = 20 + 6x Solving 93 + -5x = 20 + 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. 93 + -5x + -6x = 20 + 6x + -6x Combine like terms: -5x + -6x = -11x 93 + -11x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 93 + -11x = 20 + 0 93 + -11x = 20 Add '-93' to each side of the equation. 93 + -93 + -11x = 20 + -93 Combine like terms: 93 + -93 = 0 0 + -11x = 20 + -93 -11x = 20 + -93 Combine like terms: 20 + -93 = -73 -11x = -73 Divide each side by '-11'. x = 6.636363636 Simplifying x = 6.636363636
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