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Simplifying 0.9x + 0.5 = 1.3x Reorder the terms: 0.5 + 0.9x = 1.3x Solving 0.5 + 0.9x = 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. 0.5 + 0.9x + -1.3x = 1.3x + -1.3x Combine like terms: 0.9x + -1.3x = -0.4x 0.5 + -0.4x = 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 0.5 + -0.4x = 0.0 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.4x = 0.0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.4x = 0.0 + -0.5 -0.4x = 0.0 + -0.5 Combine like terms: 0.0 + -0.5 = -0.5 -0.4x = -0.5 Divide each side by '-0.4'. x = 1.25 Simplifying x = 1.25
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