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Simplifying 45(x + -2) + 55x = 105 Reorder the terms: 45(-2 + x) + 55x = 105 (-2 * 45 + x * 45) + 55x = 105 (-90 + 45x) + 55x = 105 Combine like terms: 45x + 55x = 100x -90 + 100x = 105 Solving -90 + 100x = 105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 100x = 105 + 90 Combine like terms: -90 + 90 = 0 0 + 100x = 105 + 90 100x = 105 + 90 Combine like terms: 105 + 90 = 195 100x = 195 Divide each side by '100'. x = 1.95 Simplifying x = 1.95
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