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Simplifying 4x + x + -8 = 2(3x + 2) + -12 Reorder the terms: -8 + 4x + x = 2(3x + 2) + -12 Combine like terms: 4x + x = 5x -8 + 5x = 2(3x + 2) + -12 Reorder the terms: -8 + 5x = 2(2 + 3x) + -12 -8 + 5x = (2 * 2 + 3x * 2) + -12 -8 + 5x = (4 + 6x) + -12 Reorder the terms: -8 + 5x = 4 + -12 + 6x Combine like terms: 4 + -12 = -8 -8 + 5x = -8 + 6x Add '8' to each side of the equation. -8 + 8 + 5x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 0 + 5x = -8 + 8 + 6x 5x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 5x = 0 + 6x 5x = 6x Solving 5x = 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. 5x + -6x = 6x + -6x Combine like terms: 5x + -6x = -1x -1x = 6x + -6x Combine like terms: 6x + -6x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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