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