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Simplifying 4x + 1 + -2 + 2x = 5x + 7 + -3x Reorder the terms: 1 + -2 + 4x + 2x = 5x + 7 + -3x Combine like terms: 1 + -2 = -1 -1 + 4x + 2x = 5x + 7 + -3x Combine like terms: 4x + 2x = 6x -1 + 6x = 5x + 7 + -3x Reorder the terms: -1 + 6x = 7 + 5x + -3x Combine like terms: 5x + -3x = 2x -1 + 6x = 7 + 2x Solving -1 + 6x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 6x + -2x = 7 + 2x + -2x Combine like terms: 6x + -2x = 4x -1 + 4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 4x = 7 + 0 -1 + 4x = 7 Add '1' to each side of the equation. -1 + 1 + 4x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 7 + 1 4x = 7 + 1 Combine like terms: 7 + 1 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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