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Simplifying 2x + -4 + x + 3 + 2x + -4 + x + 3 = x + 7 + 2x + 3 + 2x + 7 Reorder the terms: -4 + 3 + -4 + 3 + 2x + x + 2x + x = x + 7 + 2x + 3 + 2x + 7 Combine like terms: -4 + 3 = -1 -1 + -4 + 3 + 2x + x + 2x + x = x + 7 + 2x + 3 + 2x + 7 Combine like terms: -1 + -4 = -5 -5 + 3 + 2x + x + 2x + x = x + 7 + 2x + 3 + 2x + 7 Combine like terms: -5 + 3 = -2 -2 + 2x + x + 2x + x = x + 7 + 2x + 3 + 2x + 7 Combine like terms: 2x + x = 3x -2 + 3x + 2x + x = x + 7 + 2x + 3 + 2x + 7 Combine like terms: 3x + 2x = 5x -2 + 5x + x = x + 7 + 2x + 3 + 2x + 7 Combine like terms: 5x + x = 6x -2 + 6x = x + 7 + 2x + 3 + 2x + 7 Reorder the terms: -2 + 6x = 7 + 3 + 7 + x + 2x + 2x Combine like terms: 7 + 3 = 10 -2 + 6x = 10 + 7 + x + 2x + 2x Combine like terms: 10 + 7 = 17 -2 + 6x = 17 + x + 2x + 2x Combine like terms: x + 2x = 3x -2 + 6x = 17 + 3x + 2x Combine like terms: 3x + 2x = 5x -2 + 6x = 17 + 5x Solving -2 + 6x = 17 + 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 + 6x + -5x = 17 + 5x + -5x Combine like terms: 6x + -5x = 1x -2 + 1x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 1x = 17 + 0 -2 + 1x = 17 Add '2' to each side of the equation. -2 + 2 + 1x = 17 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 17 + 2 1x = 17 + 2 Combine like terms: 17 + 2 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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