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Simplifying 84 + -1(5x + 11) = 5(x + 8) + x Reorder the terms: 84 + -1(11 + 5x) = 5(x + 8) + x 84 + (11 * -1 + 5x * -1) = 5(x + 8) + x 84 + (-11 + -5x) = 5(x + 8) + x Combine like terms: 84 + -11 = 73 73 + -5x = 5(x + 8) + x Reorder the terms: 73 + -5x = 5(8 + x) + x 73 + -5x = (8 * 5 + x * 5) + x 73 + -5x = (40 + 5x) + x Combine like terms: 5x + x = 6x 73 + -5x = 40 + 6x Solving 73 + -5x = 40 + 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. 73 + -5x + -6x = 40 + 6x + -6x Combine like terms: -5x + -6x = -11x 73 + -11x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 73 + -11x = 40 + 0 73 + -11x = 40 Add '-73' to each side of the equation. 73 + -73 + -11x = 40 + -73 Combine like terms: 73 + -73 = 0 0 + -11x = 40 + -73 -11x = 40 + -73 Combine like terms: 40 + -73 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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