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Simplifying 0.5x + 0.3 = 0.9x + -0.5 Reorder the terms: 0.3 + 0.5x = 0.9x + -0.5 Reorder the terms: 0.3 + 0.5x = -0.5 + 0.9x Solving 0.3 + 0.5x = -0.5 + 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. 0.3 + 0.5x + -0.9x = -0.5 + 0.9x + -0.9x Combine like terms: 0.5x + -0.9x = -0.4x 0.3 + -0.4x = -0.5 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.3 + -0.4x = -0.5 + 0.0 0.3 + -0.4x = -0.5 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.4x = -0.5 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.4x = -0.5 + -0.3 -0.4x = -0.5 + -0.3 Combine like terms: -0.5 + -0.3 = -0.8 -0.4x = -0.8 Divide each side by '-0.4'. x = 2 Simplifying x = 2
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