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Simplifying 9 + 16x + -1 = 9x + 78 + -7x Reorder the terms: 9 + -1 + 16x = 9x + 78 + -7x Combine like terms: 9 + -1 = 8 8 + 16x = 9x + 78 + -7x Reorder the terms: 8 + 16x = 78 + 9x + -7x Combine like terms: 9x + -7x = 2x 8 + 16x = 78 + 2x Solving 8 + 16x = 78 + 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. 8 + 16x + -2x = 78 + 2x + -2x Combine like terms: 16x + -2x = 14x 8 + 14x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 14x = 78 + 0 8 + 14x = 78 Add '-8' to each side of the equation. 8 + -8 + 14x = 78 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 78 + -8 14x = 78 + -8 Combine like terms: 78 + -8 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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