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Simplifying 4x + -2 + 4x + -2 + x + 1 + x + 1 = x + 8 + 4x + 2 + 4x + -3 Reorder the terms: -2 + -2 + 1 + 1 + 4x + 4x + x + x = x + 8 + 4x + 2 + 4x + -3 Combine like terms: -2 + -2 = -4 -4 + 1 + 1 + 4x + 4x + x + x = x + 8 + 4x + 2 + 4x + -3 Combine like terms: -4 + 1 = -3 -3 + 1 + 4x + 4x + x + x = x + 8 + 4x + 2 + 4x + -3 Combine like terms: -3 + 1 = -2 -2 + 4x + 4x + x + x = x + 8 + 4x + 2 + 4x + -3 Combine like terms: 4x + 4x = 8x -2 + 8x + x + x = x + 8 + 4x + 2 + 4x + -3 Combine like terms: 8x + x = 9x -2 + 9x + x = x + 8 + 4x + 2 + 4x + -3 Combine like terms: 9x + x = 10x -2 + 10x = x + 8 + 4x + 2 + 4x + -3 Reorder the terms: -2 + 10x = 8 + 2 + -3 + x + 4x + 4x Combine like terms: 8 + 2 = 10 -2 + 10x = 10 + -3 + x + 4x + 4x Combine like terms: 10 + -3 = 7 -2 + 10x = 7 + x + 4x + 4x Combine like terms: x + 4x = 5x -2 + 10x = 7 + 5x + 4x Combine like terms: 5x + 4x = 9x -2 + 10x = 7 + 9x Solving -2 + 10x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 10x + -9x = 7 + 9x + -9x Combine like terms: 10x + -9x = 1x -2 + 1x = 7 + 9x + -9x Combine like terms: 9x + -9x = 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 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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