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