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Simplifying 7(2x + -1) = 5(x + -6) + -13 Reorder the terms: 7(-1 + 2x) = 5(x + -6) + -13 (-1 * 7 + 2x * 7) = 5(x + -6) + -13 (-7 + 14x) = 5(x + -6) + -13 Reorder the terms: -7 + 14x = 5(-6 + x) + -13 -7 + 14x = (-6 * 5 + x * 5) + -13 -7 + 14x = (-30 + 5x) + -13 Reorder the terms: -7 + 14x = -30 + -13 + 5x Combine like terms: -30 + -13 = -43 -7 + 14x = -43 + 5x Solving -7 + 14x = -43 + 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. -7 + 14x + -5x = -43 + 5x + -5x Combine like terms: 14x + -5x = 9x -7 + 9x = -43 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 9x = -43 + 0 -7 + 9x = -43 Add '7' to each side of the equation. -7 + 7 + 9x = -43 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = -43 + 7 9x = -43 + 7 Combine like terms: -43 + 7 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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