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Simplifying (x + -2) * 0.45 = x * 0.35 + 4.4 Reorder the terms: (-2 + x) * 0.45 = x * 0.35 + 4.4 Reorder the terms for easier multiplication: 0.45(-2 + x) = x * 0.35 + 4.4 (-2 * 0.45 + x * 0.45) = x * 0.35 + 4.4 (-0.9 + 0.45x) = x * 0.35 + 4.4 Reorder the terms for easier multiplication: -0.9 + 0.45x = 0.35x + 4.4 Reorder the terms: -0.9 + 0.45x = 4.4 + 0.35x Solving -0.9 + 0.45x = 4.4 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. -0.9 + 0.45x + -0.35x = 4.4 + 0.35x + -0.35x Combine like terms: 0.45x + -0.35x = 0.1x -0.9 + 0.1x = 4.4 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 -0.9 + 0.1x = 4.4 + 0.00 -0.9 + 0.1x = 4.4 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.1x = 4.4 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.1x = 4.4 + 0.9 0.1x = 4.4 + 0.9 Combine like terms: 4.4 + 0.9 = 5.3 0.1x = 5.3 Divide each side by '0.1'. x = 53 Simplifying x = 53
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