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Simplifying 5x + 8 = -9x + 64 Reorder the terms: 8 + 5x = -9x + 64 Reorder the terms: 8 + 5x = 64 + -9x Solving 8 + 5x = 64 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 8 + 5x + 9x = 64 + -9x + 9x Combine like terms: 5x + 9x = 14x 8 + 14x = 64 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 14x = 64 + 0 8 + 14x = 64 Add '-8' to each side of the equation. 8 + -8 + 14x = 64 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 64 + -8 14x = 64 + -8 Combine like terms: 64 + -8 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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