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Simplifying x + 10 = 74 + -7x Reorder the terms: 10 + x = 74 + -7x Solving 10 + x = 74 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + x + 7x = 74 + -7x + 7x Combine like terms: x + 7x = 8x 10 + 8x = 74 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 8x = 74 + 0 10 + 8x = 74 Add '-10' to each side of the equation. 10 + -10 + 8x = 74 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 74 + -10 8x = 74 + -10 Combine like terms: 74 + -10 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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