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Simplifying -1x + 13 = -2(1 + -2x) Reorder the terms: 13 + -1x = -2(1 + -2x) 13 + -1x = (1 * -2 + -2x * -2) 13 + -1x = (-2 + 4x) Solving 13 + -1x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + -1x + -4x = -2 + 4x + -4x Combine like terms: -1x + -4x = -5x 13 + -5x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -5x = -2 + 0 13 + -5x = -2 Add '-13' to each side of the equation. 13 + -13 + -5x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -2 + -13 -5x = -2 + -13 Combine like terms: -2 + -13 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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