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Simplifying 0.12x + -1 = 0.095x + -0.9 Reorder the terms: -1 + 0.12x = 0.095x + -0.9 Reorder the terms: -1 + 0.12x = -0.9 + 0.095x Solving -1 + 0.12x = -0.9 + 0.095x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.095x' to each side of the equation. -1 + 0.12x + -0.095x = -0.9 + 0.095x + -0.095x Combine like terms: 0.12x + -0.095x = 0.025x -1 + 0.025x = -0.9 + 0.095x + -0.095x Combine like terms: 0.095x + -0.095x = 0.000 -1 + 0.025x = -0.9 + 0.000 -1 + 0.025x = -0.9 Add '1' to each side of the equation. -1 + 1 + 0.025x = -0.9 + 1 Combine like terms: -1 + 1 = 0 0 + 0.025x = -0.9 + 1 0.025x = -0.9 + 1 Combine like terms: -0.9 + 1 = 0.1 0.025x = 0.1 Divide each side by '0.025'. x = 4 Simplifying x = 4
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