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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 = 17 -7 + 14x = 17 + 5x Solving -7 + 14x = 17 + 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 = 17 + 5x + -5x Combine like terms: 14x + -5x = 9x -7 + 9x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 9x = 17 + 0 -7 + 9x = 17 Add '7' to each side of the equation. -7 + 7 + 9x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 17 + 7 9x = 17 + 7 Combine like terms: 17 + 7 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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