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