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Simplifying x + -7(2x + 1) = 2(6 + -5x) + -13 Reorder the terms: x + -7(1 + 2x) = 2(6 + -5x) + -13 x + (1 * -7 + 2x * -7) = 2(6 + -5x) + -13 x + (-7 + -14x) = 2(6 + -5x) + -13 Reorder the terms: -7 + x + -14x = 2(6 + -5x) + -13 Combine like terms: x + -14x = -13x -7 + -13x = 2(6 + -5x) + -13 -7 + -13x = (6 * 2 + -5x * 2) + -13 -7 + -13x = (12 + -10x) + -13 Reorder the terms: -7 + -13x = 12 + -13 + -10x Combine like terms: 12 + -13 = -1 -7 + -13x = -1 + -10x Solving -7 + -13x = -1 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -7 + -13x + 10x = -1 + -10x + 10x Combine like terms: -13x + 10x = -3x -7 + -3x = -1 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + -3x = -1 + 0 -7 + -3x = -1 Add '7' to each side of the equation. -7 + 7 + -3x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -1 + 7 -3x = -1 + 7 Combine like terms: -1 + 7 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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