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Simplifying 6x + -4 = 7x + 2 + -5 Reorder the terms: -4 + 6x = 7x + 2 + -5 Reorder the terms: -4 + 6x = 2 + -5 + 7x Combine like terms: 2 + -5 = -3 -4 + 6x = -3 + 7x Solving -4 + 6x = -3 + 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 + 6x + -7x = -3 + 7x + -7x Combine like terms: 6x + -7x = -1x -4 + -1x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -1x = -3 + 0 -4 + -1x = -3 Add '4' to each side of the equation. -4 + 4 + -1x = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -3 + 4 -1x = -3 + 4 Combine like terms: -3 + 4 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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