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Simplifying 2(4x + -2) + 2(x + 1) = x + 6 + 4x + 2 + 4x + 6 Reorder the terms: 2(-2 + 4x) + 2(x + 1) = x + 6 + 4x + 2 + 4x + 6 (-2 * 2 + 4x * 2) + 2(x + 1) = x + 6 + 4x + 2 + 4x + 6 (-4 + 8x) + 2(x + 1) = x + 6 + 4x + 2 + 4x + 6 Reorder the terms: -4 + 8x + 2(1 + x) = x + 6 + 4x + 2 + 4x + 6 -4 + 8x + (1 * 2 + x * 2) = x + 6 + 4x + 2 + 4x + 6 -4 + 8x + (2 + 2x) = x + 6 + 4x + 2 + 4x + 6 Reorder the terms: -4 + 2 + 8x + 2x = x + 6 + 4x + 2 + 4x + 6 Combine like terms: -4 + 2 = -2 -2 + 8x + 2x = x + 6 + 4x + 2 + 4x + 6 Combine like terms: 8x + 2x = 10x -2 + 10x = x + 6 + 4x + 2 + 4x + 6 Reorder the terms: -2 + 10x = 6 + 2 + 6 + x + 4x + 4x Combine like terms: 6 + 2 = 8 -2 + 10x = 8 + 6 + x + 4x + 4x Combine like terms: 8 + 6 = 14 -2 + 10x = 14 + x + 4x + 4x Combine like terms: x + 4x = 5x -2 + 10x = 14 + 5x + 4x Combine like terms: 5x + 4x = 9x -2 + 10x = 14 + 9x Solving -2 + 10x = 14 + 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 = 14 + 9x + -9x Combine like terms: 10x + -9x = 1x -2 + 1x = 14 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + 1x = 14 + 0 -2 + 1x = 14 Add '2' to each side of the equation. -2 + 2 + 1x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 14 + 2 1x = 14 + 2 Combine like terms: 14 + 2 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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