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