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Simplifying x + 11 = 1.5(84 + -1(24 + 11 + x)) Reorder the terms: 11 + x = 1.5(84 + -1(24 + 11 + x)) Combine like terms: 24 + 11 = 35 11 + x = 1.5(84 + -1(35 + x)) 11 + x = 1.5(84 + (35 * -1 + x * -1)) 11 + x = 1.5(84 + (-35 + -1x)) Combine like terms: 84 + -35 = 49 11 + x = 1.5(49 + -1x) 11 + x = (49 * 1.5 + -1x * 1.5) 11 + x = (73.5 + -1.5x) Solving 11 + x = 73.5 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 11 + x + 1.5x = 73.5 + -1.5x + 1.5x Combine like terms: x + 1.5x = 2.5x 11 + 2.5x = 73.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 11 + 2.5x = 73.5 + 0.0 11 + 2.5x = 73.5 Add '-11' to each side of the equation. 11 + -11 + 2.5x = 73.5 + -11 Combine like terms: 11 + -11 = 0 0 + 2.5x = 73.5 + -11 2.5x = 73.5 + -11 Combine like terms: 73.5 + -11 = 62.5 2.5x = 62.5 Divide each side by '2.5'. x = 25 Simplifying x = 25
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