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Simplifying 6x + 15 = 5x + 40 Reorder the terms: 15 + 6x = 5x + 40 Reorder the terms: 15 + 6x = 40 + 5x Solving 15 + 6x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 6x + -5x = 40 + 5x + -5x Combine like terms: 6x + -5x = 1x 15 + 1x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 1x = 40 + 0 15 + 1x = 40 Add '-15' to each side of the equation. 15 + -15 + 1x = 40 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 40 + -15 1x = 40 + -15 Combine like terms: 40 + -15 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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