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Simplifying 6x + -1(-7 + -13) = (2x + -7) + -1(x + -7) Combine like terms: -7 + -13 = -20 6x + -1(-20) = (2x + -7) + -1(x + -7) Multiply -1 * -20 6x + 20 = (2x + -7) + -1(x + -7) Reorder the terms: 20 + 6x = (2x + -7) + -1(x + -7) Reorder the terms: 20 + 6x = (-7 + 2x) + -1(x + -7) Remove parenthesis around (-7 + 2x) 20 + 6x = -7 + 2x + -1(x + -7) Reorder the terms: 20 + 6x = -7 + 2x + -1(-7 + x) 20 + 6x = -7 + 2x + (-7 * -1 + x * -1) 20 + 6x = -7 + 2x + (7 + -1x) Reorder the terms: 20 + 6x = -7 + 7 + 2x + -1x Combine like terms: -7 + 7 = 0 20 + 6x = 0 + 2x + -1x 20 + 6x = 2x + -1x Combine like terms: 2x + -1x = 1x 20 + 6x = 1x Solving 20 + 6x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + 6x + -1x = 1x + -1x Combine like terms: 6x + -1x = 5x 20 + 5x = 1x + -1x Combine like terms: 1x + -1x = 0 20 + 5x = 0 Add '-20' to each side of the equation. 20 + -20 + 5x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 0 + -20 5x = 0 + -20 Combine like terms: 0 + -20 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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