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