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Simplifying 2x + -1(6x + -1x) + 3x + 6 = 6x + 2 Combine like terms: 6x + -1x = 5x 2x + -1(5x) + 3x + 6 = 6x + 2 Remove parenthesis around (5x) 2x + -1 * 5x + 3x + 6 = 6x + 2 Multiply -1 * 5 2x + -5x + 3x + 6 = 6x + 2 Reorder the terms: 6 + 2x + -5x + 3x = 6x + 2 Combine like terms: 2x + -5x = -3x 6 + -3x + 3x = 6x + 2 Combine like terms: -3x + 3x = 0 6 + 0 = 6x + 2 6 = 6x + 2 Reorder the terms: 6 = 2 + 6x Solving 6 = 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 + -6x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -6x = 2 + 0 6 + -6x = 2 Add '-6' to each side of the equation. 6 + -6 + -6x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 2 + -6 -6x = 2 + -6 Combine like terms: 2 + -6 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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