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Simplifying 3x + 4 = 74 + -7x Reorder the terms: 4 + 3x = 74 + -7x Solving 4 + 3x = 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. 4 + 3x + 7x = 74 + -7x + 7x Combine like terms: 3x + 7x = 10x 4 + 10x = 74 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 10x = 74 + 0 4 + 10x = 74 Add '-4' to each side of the equation. 4 + -4 + 10x = 74 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 74 + -4 10x = 74 + -4 Combine like terms: 74 + -4 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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