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Simplifying 51 = 7x + 3x + 1 Reorder the terms: 51 = 1 + 7x + 3x Combine like terms: 7x + 3x = 10x 51 = 1 + 10x Solving 51 = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 51 + -10x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 51 + -10x = 1 + 0 51 + -10x = 1 Add '-51' to each side of the equation. 51 + -51 + -10x = 1 + -51 Combine like terms: 51 + -51 = 0 0 + -10x = 1 + -51 -10x = 1 + -51 Combine like terms: 1 + -51 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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