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Simplifying 7x + 4 = -3x + 44 Reorder the terms: 4 + 7x = -3x + 44 Reorder the terms: 4 + 7x = 44 + -3x Solving 4 + 7x = 44 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 7x + 3x = 44 + -3x + 3x Combine like terms: 7x + 3x = 10x 4 + 10x = 44 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 10x = 44 + 0 4 + 10x = 44 Add '-4' to each side of the equation. 4 + -4 + 10x = 44 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 44 + -4 10x = 44 + -4 Combine like terms: 44 + -4 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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