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Simplifying 0.01(x + 25) + -25 = 0.01(6x + 25) Reorder the terms: 0.01(25 + x) + -25 = 0.01(6x + 25) (25 * 0.01 + x * 0.01) + -25 = 0.01(6x + 25) (0.25 + 0.01x) + -25 = 0.01(6x + 25) Reorder the terms: 0.25 + -25 + 0.01x = 0.01(6x + 25) Combine like terms: 0.25 + -25 = -24.75 -24.75 + 0.01x = 0.01(6x + 25) Reorder the terms: -24.75 + 0.01x = 0.01(25 + 6x) -24.75 + 0.01x = (25 * 0.01 + 6x * 0.01) -24.75 + 0.01x = (0.25 + 0.06x) Solving -24.75 + 0.01x = 0.25 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. -24.75 + 0.01x + -0.06x = 0.25 + 0.06x + -0.06x Combine like terms: 0.01x + -0.06x = -0.05x -24.75 + -0.05x = 0.25 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 -24.75 + -0.05x = 0.25 + 0.00 -24.75 + -0.05x = 0.25 Add '24.75' to each side of the equation. -24.75 + 24.75 + -0.05x = 0.25 + 24.75 Combine like terms: -24.75 + 24.75 = 0.00 0.00 + -0.05x = 0.25 + 24.75 -0.05x = 0.25 + 24.75 Combine like terms: 0.25 + 24.75 = 25 -0.05x = 25 Divide each side by '-0.05'. x = -500 Simplifying x = -500
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