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Simplifying 5x + 36 = 6.5x + 4.5 Reorder the terms: 36 + 5x = 6.5x + 4.5 Reorder the terms: 36 + 5x = 4.5 + 6.5x Solving 36 + 5x = 4.5 + 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. 36 + 5x + -6.5x = 4.5 + 6.5x + -6.5x Combine like terms: 5x + -6.5x = -1.5x 36 + -1.5x = 4.5 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 36 + -1.5x = 4.5 + 0.0 36 + -1.5x = 4.5 Add '-36' to each side of the equation. 36 + -36 + -1.5x = 4.5 + -36 Combine like terms: 36 + -36 = 0 0 + -1.5x = 4.5 + -36 -1.5x = 4.5 + -36 Combine like terms: 4.5 + -36 = -31.5 -1.5x = -31.5 Divide each side by '-1.5'. x = 21 Simplifying x = 21
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