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Simplifying -3x + 1 = -2(3x + 13) Reorder the terms: 1 + -3x = -2(3x + 13) Reorder the terms: 1 + -3x = -2(13 + 3x) 1 + -3x = (13 * -2 + 3x * -2) 1 + -3x = (-26 + -6x) Solving 1 + -3x = -26 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + -3x + 6x = -26 + -6x + 6x Combine like terms: -3x + 6x = 3x 1 + 3x = -26 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 3x = -26 + 0 1 + 3x = -26 Add '-1' to each side of the equation. 1 + -1 + 3x = -26 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -26 + -1 3x = -26 + -1 Combine like terms: -26 + -1 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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