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Simplifying (3x + 1) + -1(-6x + 7) = 0 Reorder the terms: (1 + 3x) + -1(-6x + 7) = 0 Remove parenthesis around (1 + 3x) 1 + 3x + -1(-6x + 7) = 0 Reorder the terms: 1 + 3x + -1(7 + -6x) = 0 1 + 3x + (7 * -1 + -6x * -1) = 0 1 + 3x + (-7 + 6x) = 0 Reorder the terms: 1 + -7 + 3x + 6x = 0 Combine like terms: 1 + -7 = -6 -6 + 3x + 6x = 0 Combine like terms: 3x + 6x = 9x -6 + 9x = 0 Solving -6 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 9x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 0 + 6 9x = 0 + 6 Combine like terms: 0 + 6 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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