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Simplifying 6x + -1x + -5 = 4x + -7 Reorder the terms: -5 + 6x + -1x = 4x + -7 Combine like terms: 6x + -1x = 5x -5 + 5x = 4x + -7 Reorder the terms: -5 + 5x = -7 + 4x Solving -5 + 5x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 5x + -4x = -7 + 4x + -4x Combine like terms: 5x + -4x = 1x -5 + 1x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 1x = -7 + 0 -5 + 1x = -7 Add '5' to each side of the equation. -5 + 5 + 1x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -7 + 5 1x = -7 + 5 Combine like terms: -7 + 5 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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