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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 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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