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Simplifying 4x + -5 = 6 + 2x + -7 Reorder the terms: -5 + 4x = 6 + 2x + -7 Reorder the terms: -5 + 4x = 6 + -7 + 2x Combine like terms: 6 + -7 = -1 -5 + 4x = -1 + 2x Solving -5 + 4x = -1 + 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. -5 + 4x + -2x = -1 + 2x + -2x Combine like terms: 4x + -2x = 2x -5 + 2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 2x = -1 + 0 -5 + 2x = -1 Add '5' to each side of the equation. -5 + 5 + 2x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -1 + 5 2x = -1 + 5 Combine like terms: -1 + 5 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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