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Simplifying 0.01(x + 12) = 0.01(7x + 12) Reorder the terms: 0.01(12 + x) = 0.01(7x + 12) (12 * 0.01 + x * 0.01) = 0.01(7x + 12) (0.12 + 0.01x) = 0.01(7x + 12) Reorder the terms: 0.12 + 0.01x = 0.01(12 + 7x) 0.12 + 0.01x = (12 * 0.01 + 7x * 0.01) 0.12 + 0.01x = (0.12 + 0.07x) Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.01x = 0.12 + -0.12 + 0.07x Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.01x = 0.12 + -0.12 + 0.07x 0.01x = 0.12 + -0.12 + 0.07x Combine like terms: 0.12 + -0.12 = 0.00 0.01x = 0.00 + 0.07x 0.01x = 0.07x Solving 0.01x = 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 = 0.07x + -0.07x Combine like terms: 0.01x + -0.07x = -0.06x -0.06x = 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 -0.06x = 0.00 Divide each side by '-0.06'. x = 0 Simplifying x = 0
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