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Simplifying 0.01 + (x + 24) + -0.24 = 0.01(7x + 24) Reorder the terms: 0.01 + (24 + x) + -0.24 = 0.01(7x + 24) Remove parenthesis around (24 + x) 0.01 + 24 + x + -0.24 = 0.01(7x + 24) Reorder the terms: 0.01 + 24 + -0.24 + x = 0.01(7x + 24) Combine like terms: 0.01 + 24 = 24.01 24.01 + -0.24 + x = 0.01(7x + 24) Combine like terms: 24.01 + -0.24 = 23.77 23.77 + x = 0.01(7x + 24) Reorder the terms: 23.77 + x = 0.01(24 + 7x) 23.77 + x = (24 * 0.01 + 7x * 0.01) 23.77 + x = (0.24 + 0.07x) Solving 23.77 + x = 0.24 + 0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07x' to each side of the equation. 23.77 + x + -0.07x = 0.24 + 0.07x + -0.07x Combine like terms: x + -0.07x = 0.93x 23.77 + 0.93x = 0.24 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 23.77 + 0.93x = 0.24 + 0.00 23.77 + 0.93x = 0.24 Add '-23.77' to each side of the equation. 23.77 + -23.77 + 0.93x = 0.24 + -23.77 Combine like terms: 23.77 + -23.77 = 0.00 0.00 + 0.93x = 0.24 + -23.77 0.93x = 0.24 + -23.77 Combine like terms: 0.24 + -23.77 = -23.53 0.93x = -23.53 Divide each side by '0.93'. x = -25.30107527 Simplifying x = -25.30107527
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