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Simplifying 0.9x + -10 = 0.02x + 2 Reorder the terms: -10 + 0.9x = 0.02x + 2 Reorder the terms: -10 + 0.9x = 2 + 0.02x Solving -10 + 0.9x = 2 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -10 + 0.9x + -0.02x = 2 + 0.02x + -0.02x Combine like terms: 0.9x + -0.02x = 0.88x -10 + 0.88x = 2 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -10 + 0.88x = 2 + 0.00 -10 + 0.88x = 2 Add '10' to each side of the equation. -10 + 10 + 0.88x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 0.88x = 2 + 10 0.88x = 2 + 10 Combine like terms: 2 + 10 = 12 0.88x = 12 Divide each side by '0.88'. x = 13.63636364 Simplifying x = 13.63636364
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