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Simplifying 6(2x + -1) + 13 = -1(2x + 2) Reorder the terms: 6(-1 + 2x) + 13 = -1(2x + 2) (-1 * 6 + 2x * 6) + 13 = -1(2x + 2) (-6 + 12x) + 13 = -1(2x + 2) Reorder the terms: -6 + 13 + 12x = -1(2x + 2) Combine like terms: -6 + 13 = 7 7 + 12x = -1(2x + 2) Reorder the terms: 7 + 12x = -1(2 + 2x) 7 + 12x = (2 * -1 + 2x * -1) 7 + 12x = (-2 + -2x) Solving 7 + 12x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 12x + 2x = -2 + -2x + 2x Combine like terms: 12x + 2x = 14x 7 + 14x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 14x = -2 + 0 7 + 14x = -2 Add '-7' to each side of the equation. 7 + -7 + 14x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = -2 + -7 14x = -2 + -7 Combine like terms: -2 + -7 = -9 14x = -9 Divide each side by '14'. x = -0.6428571429 Simplifying x = -0.6428571429
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