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Simplifying 2(x + -2) = 2(3x + 1) + 2 Reorder the terms: 2(-2 + x) = 2(3x + 1) + 2 (-2 * 2 + x * 2) = 2(3x + 1) + 2 (-4 + 2x) = 2(3x + 1) + 2 Reorder the terms: -4 + 2x = 2(1 + 3x) + 2 -4 + 2x = (1 * 2 + 3x * 2) + 2 -4 + 2x = (2 + 6x) + 2 Reorder the terms: -4 + 2x = 2 + 2 + 6x Combine like terms: 2 + 2 = 4 -4 + 2x = 4 + 6x Solving -4 + 2x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 2x + -6x = 4 + 6x + -6x Combine like terms: 2x + -6x = -4x -4 + -4x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -4x = 4 + 0 -4 + -4x = 4 Add '4' to each side of the equation. -4 + 4 + -4x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 4 + 4 -4x = 4 + 4 Combine like terms: 4 + 4 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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