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Simplifying -8x + 7 + 7x + -10 + 5x + 9 = 78 Reorder the terms: 7 + -10 + 9 + -8x + 7x + 5x = 78 Combine like terms: 7 + -10 = -3 -3 + 9 + -8x + 7x + 5x = 78 Combine like terms: -3 + 9 = 6 6 + -8x + 7x + 5x = 78 Combine like terms: -8x + 7x = -1x 6 + -1x + 5x = 78 Combine like terms: -1x + 5x = 4x 6 + 4x = 78 Solving 6 + 4x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x = 78 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 78 + -6 4x = 78 + -6 Combine like terms: 78 + -6 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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