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Simplifying x + 4 = -7x + 44 Reorder the terms: 4 + x = -7x + 44 Reorder the terms: 4 + x = 44 + -7x Solving 4 + x = 44 + -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 + x + 7x = 44 + -7x + 7x Combine like terms: x + 7x = 8x 4 + 8x = 44 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 8x = 44 + 0 4 + 8x = 44 Add '-4' to each side of the equation. 4 + -4 + 8x = 44 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 44 + -4 8x = 44 + -4 Combine like terms: 44 + -4 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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