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Simplifying -0.9x + 5.32 = -0.5x + 0.52 Reorder the terms: 5.32 + -0.9x = -0.5x + 0.52 Reorder the terms: 5.32 + -0.9x = 0.52 + -0.5x Solving 5.32 + -0.9x = 0.52 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 5.32 + -0.9x + 0.5x = 0.52 + -0.5x + 0.5x Combine like terms: -0.9x + 0.5x = -0.4x 5.32 + -0.4x = 0.52 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 5.32 + -0.4x = 0.52 + 0.0 5.32 + -0.4x = 0.52 Add '-5.32' to each side of the equation. 5.32 + -5.32 + -0.4x = 0.52 + -5.32 Combine like terms: 5.32 + -5.32 = 0.00 0.00 + -0.4x = 0.52 + -5.32 -0.4x = 0.52 + -5.32 Combine like terms: 0.52 + -5.32 = -4.8 -0.4x = -4.8 Divide each side by '-0.4'. x = 12 Simplifying x = 12
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