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Simplifying x = (0.5x + 5) + -1(0.5x + 5) + -0.75x + 5 Reorder the terms: x = (5 + 0.5x) + -1(0.5x + 5) + -0.75x + 5 Remove parenthesis around (5 + 0.5x) x = 5 + 0.5x + -1(0.5x + 5) + -0.75x + 5 Reorder the terms: x = 5 + 0.5x + -1(5 + 0.5x) + -0.75x + 5 x = 5 + 0.5x + (5 * -1 + 0.5x * -1) + -0.75x + 5 x = 5 + 0.5x + (-5 + -0.5x) + -0.75x + 5 Reorder the terms: x = 5 + -5 + 5 + 0.5x + -0.5x + -0.75x Combine like terms: 5 + -5 = 0 x = 0 + 5 + 0.5x + -0.5x + -0.75x x = 5 + 0.5x + -0.5x + -0.75x Combine like terms: 0.5x + -0.5x = 0.0 x = 5 + 0.0 + -0.75x x = 5 + -0.75x Solving x = 5 + -0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75x' to each side of the equation. x + 0.75x = 5 + -0.75x + 0.75x Combine like terms: x + 0.75x = 1.75x 1.75x = 5 + -0.75x + 0.75x Combine like terms: -0.75x + 0.75x = 0.00 1.75x = 5 + 0.00 1.75x = 5 Divide each side by '1.75'. x = 2.857142857 Simplifying x = 2.857142857
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