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Simplifying 6(1 + -1x) + 2 = 4(2 + x) + -9x (1 * 6 + -1x * 6) + 2 = 4(2 + x) + -9x (6 + -6x) + 2 = 4(2 + x) + -9x Reorder the terms: 6 + 2 + -6x = 4(2 + x) + -9x Combine like terms: 6 + 2 = 8 8 + -6x = 4(2 + x) + -9x 8 + -6x = (2 * 4 + x * 4) + -9x 8 + -6x = (8 + 4x) + -9x Combine like terms: 4x + -9x = -5x 8 + -6x = 8 + -5x Add '-8' to each side of the equation. 8 + -8 + -6x = 8 + -8 + -5x Combine like terms: 8 + -8 = 0 0 + -6x = 8 + -8 + -5x -6x = 8 + -8 + -5x Combine like terms: 8 + -8 = 0 -6x = 0 + -5x -6x = -5x Solving -6x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6x + 5x = -5x + 5x Combine like terms: -6x + 5x = -1x -1x = -5x + 5x Combine like terms: -5x + 5x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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