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Simplifying -0.9x + 1.95 = -0.4 + 0.45 Reorder the terms: 1.95 + -0.9x = -0.4 + 0.45 Combine like terms: -0.4 + 0.45 = 0.05 1.95 + -0.9x = 0.05 Solving 1.95 + -0.9x = 0.05 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.95' to each side of the equation. 1.95 + -1.95 + -0.9x = 0.05 + -1.95 Combine like terms: 1.95 + -1.95 = 0.00 0.00 + -0.9x = 0.05 + -1.95 -0.9x = 0.05 + -1.95 Combine like terms: 0.05 + -1.95 = -1.9 -0.9x = -1.9 Divide each side by '-0.9'. x = 2.111111111 Simplifying x = 2.111111111
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