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Simplifying 4x + -2 + 4x + -2 + x + 2 + x + 2 = x + 4x + 2 + 4x + 7 Reorder the terms: -2 + -2 + 2 + 2 + 4x + 4x + x + x = x + 4x + 2 + 4x + 7 Combine like terms: -2 + -2 = -4 -4 + 2 + 2 + 4x + 4x + x + x = x + 4x + 2 + 4x + 7 Combine like terms: -4 + 2 = -2 -2 + 2 + 4x + 4x + x + x = x + 4x + 2 + 4x + 7 Combine like terms: -2 + 2 = 0 0 + 4x + 4x + x + x = x + 4x + 2 + 4x + 7 4x + 4x + x + x = x + 4x + 2 + 4x + 7 Combine like terms: 4x + 4x = 8x 8x + x + x = x + 4x + 2 + 4x + 7 Combine like terms: 8x + x = 9x 9x + x = x + 4x + 2 + 4x + 7 Combine like terms: 9x + x = 10x 10x = x + 4x + 2 + 4x + 7 Reorder the terms: 10x = 2 + 7 + x + 4x + 4x Combine like terms: 2 + 7 = 9 10x = 9 + x + 4x + 4x Combine like terms: x + 4x = 5x 10x = 9 + 5x + 4x Combine like terms: 5x + 4x = 9x 10x = 9 + 9x Solving 10x = 9 + 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. 10x + -9x = 9 + 9x + -9x Combine like terms: 10x + -9x = 1x 1x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 1x = 9 + 0 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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