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Simplifying 55 + 0.8x = 0.9x Solving 55 + 0.8x = 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. 55 + 0.8x + -0.9x = 0.9x + -0.9x Combine like terms: 0.8x + -0.9x = -0.1x 55 + -0.1x = 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 55 + -0.1x = 0.0 Add '-55' to each side of the equation. 55 + -55 + -0.1x = 0.0 + -55 Combine like terms: 55 + -55 = 0 0 + -0.1x = 0.0 + -55 -0.1x = 0.0 + -55 Combine like terms: 0.0 + -55 = -55 -0.1x = -55 Divide each side by '-0.1'. x = 550 Simplifying x = 550
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