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Simplifying 84 + -1(5x + 11) = 5(x + 8) + 8 Reorder the terms: 84 + -1(11 + 5x) = 5(x + 8) + 8 84 + (11 * -1 + 5x * -1) = 5(x + 8) + 8 84 + (-11 + -5x) = 5(x + 8) + 8 Combine like terms: 84 + -11 = 73 73 + -5x = 5(x + 8) + 8 Reorder the terms: 73 + -5x = 5(8 + x) + 8 73 + -5x = (8 * 5 + x * 5) + 8 73 + -5x = (40 + 5x) + 8 Reorder the terms: 73 + -5x = 40 + 8 + 5x Combine like terms: 40 + 8 = 48 73 + -5x = 48 + 5x Solving 73 + -5x = 48 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 73 + -5x + -5x = 48 + 5x + -5x Combine like terms: -5x + -5x = -10x 73 + -10x = 48 + 5x + -5x Combine like terms: 5x + -5x = 0 73 + -10x = 48 + 0 73 + -10x = 48 Add '-73' to each side of the equation. 73 + -73 + -10x = 48 + -73 Combine like terms: 73 + -73 = 0 0 + -10x = 48 + -73 -10x = 48 + -73 Combine like terms: 48 + -73 = -25 -10x = -25 Divide each side by '-10'. x = 2.5 Simplifying x = 2.5
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