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