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Simplifying 10x + 17 + -7x + -2 = 78 Reorder the terms: 17 + -2 + 10x + -7x = 78 Combine like terms: 17 + -2 = 15 15 + 10x + -7x = 78 Combine like terms: 10x + -7x = 3x 15 + 3x = 78 Solving 15 + 3x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3x = 78 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 78 + -15 3x = 78 + -15 Combine like terms: 78 + -15 = 63 3x = 63 Divide each side by '3'. x = 21 Simplifying x = 21
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