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Simplifying 2x + 2(2x + 1) + (-3x) + (-6) = 4x + 3 + (-3) + x + 8 Reorder the terms: 2x + 2(1 + 2x) + (-3x) + (-6) = 4x + 3 + (-3) + x + 8 2x + (1 * 2 + 2x * 2) + (-3x) + (-6) = 4x + 3 + (-3) + x + 8 2x + (2 + 4x) + (-3x) + (-6) = 4x + 3 + (-3) + x + 8 2x + 2 + 4x + (-3x) + -6 = 4x + 3 + (-3) + x + 8 Reorder the terms: 2 + -6 + 2x + 4x + (-3x) = 4x + 3 + (-3) + x + 8 Combine like terms: 2 + -6 = -4 -4 + 2x + 4x + (-3x) = 4x + 3 + (-3) + x + 8 Combine like terms: 2x + 4x = 6x -4 + 6x + (-3x) = 4x + 3 + (-3) + x + 8 Combine like terms: 6x + (-3x) = 3x -4 + 3x = 4x + 3 + (-3) + x + 8 -4 + 3x = 4x + 3 + -3 + x + 8 Reorder the terms: -4 + 3x = 3 + -3 + 8 + 4x + x Combine like terms: 3 + -3 = 0 -4 + 3x = 0 + 8 + 4x + x -4 + 3x = 8 + 4x + x Combine like terms: 4x + x = 5x -4 + 3x = 8 + 5x Solving -4 + 3x = 8 + 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. -4 + 3x + -5x = 8 + 5x + -5x Combine like terms: 3x + -5x = -2x -4 + -2x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -2x = 8 + 0 -4 + -2x = 8 Add '4' to each side of the equation. -4 + 4 + -2x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 8 + 4 -2x = 8 + 4 Combine like terms: 8 + 4 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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