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Simplifying 2(2x + -2) + 2(x + 1) = x + 7 + 2x + 4 + 2x + 3 Reorder the terms: 2(-2 + 2x) + 2(x + 1) = x + 7 + 2x + 4 + 2x + 3 (-2 * 2 + 2x * 2) + 2(x + 1) = x + 7 + 2x + 4 + 2x + 3 (-4 + 4x) + 2(x + 1) = x + 7 + 2x + 4 + 2x + 3 Reorder the terms: -4 + 4x + 2(1 + x) = x + 7 + 2x + 4 + 2x + 3 -4 + 4x + (1 * 2 + x * 2) = x + 7 + 2x + 4 + 2x + 3 -4 + 4x + (2 + 2x) = x + 7 + 2x + 4 + 2x + 3 Reorder the terms: -4 + 2 + 4x + 2x = x + 7 + 2x + 4 + 2x + 3 Combine like terms: -4 + 2 = -2 -2 + 4x + 2x = x + 7 + 2x + 4 + 2x + 3 Combine like terms: 4x + 2x = 6x -2 + 6x = x + 7 + 2x + 4 + 2x + 3 Reorder the terms: -2 + 6x = 7 + 4 + 3 + x + 2x + 2x Combine like terms: 7 + 4 = 11 -2 + 6x = 11 + 3 + x + 2x + 2x Combine like terms: 11 + 3 = 14 -2 + 6x = 14 + x + 2x + 2x Combine like terms: x + 2x = 3x -2 + 6x = 14 + 3x + 2x Combine like terms: 3x + 2x = 5x -2 + 6x = 14 + 5x Solving -2 + 6x = 14 + 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 = 14 + 5x + -5x Combine like terms: 6x + -5x = 1x -2 + 1x = 14 + 5x + -5x Combine like terms: 5x + -5x = 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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