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Simplifying 90 + 0.5x = 50 + 0.9x Solving 90 + 0.5x = 50 + 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. 90 + 0.5x + -0.9x = 50 + 0.9x + -0.9x Combine like terms: 0.5x + -0.9x = -0.4x 90 + -0.4x = 50 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 90 + -0.4x = 50 + 0.0 90 + -0.4x = 50 Add '-90' to each side of the equation. 90 + -90 + -0.4x = 50 + -90 Combine like terms: 90 + -90 = 0 0 + -0.4x = 50 + -90 -0.4x = 50 + -90 Combine like terms: 50 + -90 = -40 -0.4x = -40 Divide each side by '-0.4'. x = 100 Simplifying x = 100
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