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