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Simplifying 4x + 4 + -5 = 7x + -5x + 7 Reorder the terms: 4 + -5 + 4x = 7x + -5x + 7 Combine like terms: 4 + -5 = -1 -1 + 4x = 7x + -5x + 7 Reorder the terms: -1 + 4x = 7 + 7x + -5x Combine like terms: 7x + -5x = 2x -1 + 4x = 7 + 2x Solving -1 + 4x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 4x + -2x = 7 + 2x + -2x Combine like terms: 4x + -2x = 2x -1 + 2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 2x = 7 + 0 -1 + 2x = 7 Add '1' to each side of the equation. -1 + 1 + 2x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 7 + 1 2x = 7 + 1 Combine like terms: 7 + 1 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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