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Simplifying 1x + 3.5 = 0.9x + 4.5 Reorder the terms: 3.5 + 1x = 0.9x + 4.5 Reorder the terms: 3.5 + 1x = 4.5 + 0.9x Solving 3.5 + 1x = 4.5 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 3.5 + 1x + -0.9x = 4.5 + 0.9x + -0.9x Combine like terms: 1x + -0.9x = 0.1x 3.5 + 0.1x = 4.5 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 3.5 + 0.1x = 4.5 + 0.0 3.5 + 0.1x = 4.5 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.1x = 4.5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.1x = 4.5 + -3.5 0.1x = 4.5 + -3.5 Combine like terms: 4.5 + -3.5 = 1 0.1x = 1 Divide each side by '0.1'. x = 10 Simplifying x = 10
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