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Simplifying -0.5x + 8.33 = -0.9x + 9.53 Reorder the terms: 8.33 + -0.5x = -0.9x + 9.53 Reorder the terms: 8.33 + -0.5x = 9.53 + -0.9x Solving 8.33 + -0.5x = 9.53 + -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. 8.33 + -0.5x + 0.9x = 9.53 + -0.9x + 0.9x Combine like terms: -0.5x + 0.9x = 0.4x 8.33 + 0.4x = 9.53 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 8.33 + 0.4x = 9.53 + 0.0 8.33 + 0.4x = 9.53 Add '-8.33' to each side of the equation. 8.33 + -8.33 + 0.4x = 9.53 + -8.33 Combine like terms: 8.33 + -8.33 = 0.00 0.00 + 0.4x = 9.53 + -8.33 0.4x = 9.53 + -8.33 Combine like terms: 9.53 + -8.33 = 1.2 0.4x = 1.2 Divide each side by '0.4'. x = 3 Simplifying x = 3
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