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Simplifying 5x + 6 = 64 + -2x Reorder the terms: 6 + 5x = 64 + -2x Solving 6 + 5x = 64 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 5x + 2x = 64 + -2x + 2x Combine like terms: 5x + 2x = 7x 6 + 7x = 64 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 7x = 64 + 0 6 + 7x = 64 Add '-6' to each side of the equation. 6 + -6 + 7x = 64 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 64 + -6 7x = 64 + -6 Combine like terms: 64 + -6 = 58 7x = 58 Divide each side by '7'. x = 8.285714286 Simplifying x = 8.285714286
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