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