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Simplifying 15x + 6 = 71 + 10x Reorder the terms: 6 + 15x = 71 + 10x Solving 6 + 15x = 71 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 15x + -10x = 71 + 10x + -10x Combine like terms: 15x + -10x = 5x 6 + 5x = 71 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 5x = 71 + 0 6 + 5x = 71 Add '-6' to each side of the equation. 6 + -6 + 5x = 71 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 71 + -6 5x = 71 + -6 Combine like terms: 71 + -6 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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