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Simplifying x + -7(2x + 1) = (26 + -5x) + -13 Reorder the terms: x + -7(1 + 2x) = (26 + -5x) + -13 x + (1 * -7 + 2x * -7) = (26 + -5x) + -13 x + (-7 + -14x) = (26 + -5x) + -13 Reorder the terms: -7 + x + -14x = (26 + -5x) + -13 Combine like terms: x + -14x = -13x -7 + -13x = (26 + -5x) + -13 Remove parenthesis around (26 + -5x) -7 + -13x = 26 + -5x + -13 Reorder the terms: -7 + -13x = 26 + -13 + -5x Combine like terms: 26 + -13 = 13 -7 + -13x = 13 + -5x Solving -7 + -13x = 13 + -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 + -13x + 5x = 13 + -5x + 5x Combine like terms: -13x + 5x = -8x -7 + -8x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + -8x = 13 + 0 -7 + -8x = 13 Add '7' to each side of the equation. -7 + 7 + -8x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 13 + 7 -8x = 13 + 7 Combine like terms: 13 + 7 = 20 -8x = 20 Divide each side by '-8'. x = -2.5 Simplifying x = -2.5
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