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Simplifying -6(2x + 1) + (13x + -7) = 0 Reorder the terms: -6(1 + 2x) + (13x + -7) = 0 (1 * -6 + 2x * -6) + (13x + -7) = 0 (-6 + -12x) + (13x + -7) = 0 Reorder the terms: -6 + -12x + (-7 + 13x) = 0 Remove parenthesis around (-7 + 13x) -6 + -12x + -7 + 13x = 0 Reorder the terms: -6 + -7 + -12x + 13x = 0 Combine like terms: -6 + -7 = -13 -13 + -12x + 13x = 0 Combine like terms: -12x + 13x = 1x -13 + 1x = 0 Solving -13 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 0 + 13 1x = 0 + 13 Combine like terms: 0 + 13 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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