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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) (24 * 0.01 + x * 0.01) + -0.24 = 0.01(7x + 24) (0.24 + 0.01x) + -0.24 = 0.01(7x + 24) Reorder the terms: 0.24 + -0.24 + 0.01x = 0.01(7x + 24) Combine like terms: 0.24 + -0.24 = 0.00 0.00 + 0.01x = 0.01(7x + 24) 0.01x = 0.01(7x + 24) Reorder the terms: 0.01x = 0.01(24 + 7x) 0.01x = (24 * 0.01 + 7x * 0.01) 0.01x = (0.24 + 0.07x) Solving 0.01x = 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. 0.01x + -0.07x = 0.24 + 0.07x + -0.07x Combine like terms: 0.01x + -0.07x = -0.06x -0.06x = 0.24 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 -0.06x = 0.24 + 0.00 -0.06x = 0.24 Divide each side by '-0.06'. x = -4 Simplifying x = -4
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