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Simplifying 4x + -4 = x + 2(3x + -2) + -1x Reorder the terms: -4 + 4x = x + 2(3x + -2) + -1x Reorder the terms: -4 + 4x = x + 2(-2 + 3x) + -1x -4 + 4x = x + (-2 * 2 + 3x * 2) + -1x -4 + 4x = x + (-4 + 6x) + -1x Reorder the terms: -4 + 4x = -4 + x + 6x + -1x Combine like terms: x + 6x = 7x -4 + 4x = -4 + 7x + -1x Combine like terms: 7x + -1x = 6x -4 + 4x = -4 + 6x Add '4' to each side of the equation. -4 + 4 + 4x = -4 + 4 + 6x Combine like terms: -4 + 4 = 0 0 + 4x = -4 + 4 + 6x 4x = -4 + 4 + 6x Combine like terms: -4 + 4 = 0 4x = 0 + 6x 4x = 6x Solving 4x = 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. 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x -2x = 6x + -6x Combine like terms: 6x + -6x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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