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Simplifying 3x + 7 + -9 + x = 2x + 3 + -1x + 4 Reorder the terms: 7 + -9 + 3x + x = 2x + 3 + -1x + 4 Combine like terms: 7 + -9 = -2 -2 + 3x + x = 2x + 3 + -1x + 4 Combine like terms: 3x + x = 4x -2 + 4x = 2x + 3 + -1x + 4 Reorder the terms: -2 + 4x = 3 + 4 + 2x + -1x Combine like terms: 3 + 4 = 7 -2 + 4x = 7 + 2x + -1x Combine like terms: 2x + -1x = 1x -2 + 4x = 7 + 1x Solving -2 + 4x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 4x + -1x = 7 + 1x + -1x Combine like terms: 4x + -1x = 3x -2 + 3x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 3x = 7 + 0 -2 + 3x = 7 Add '2' to each side of the equation. -2 + 2 + 3x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 7 + 2 3x = 7 + 2 Combine like terms: 7 + 2 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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