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Simplifying 4x + -4 = 51 + -7x Reorder the terms: -4 + 4x = 51 + -7x Solving -4 + 4x = 51 + -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 + 4x + 7x = 51 + -7x + 7x Combine like terms: 4x + 7x = 11x -4 + 11x = 51 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 11x = 51 + 0 -4 + 11x = 51 Add '4' to each side of the equation. -4 + 4 + 11x = 51 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 51 + 4 11x = 51 + 4 Combine like terms: 51 + 4 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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