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Simplifying -1x + 38 = -4(1 + -1x) + 2 Reorder the terms: 38 + -1x = -4(1 + -1x) + 2 38 + -1x = (1 * -4 + -1x * -4) + 2 38 + -1x = (-4 + 4x) + 2 Reorder the terms: 38 + -1x = -4 + 2 + 4x Combine like terms: -4 + 2 = -2 38 + -1x = -2 + 4x Solving 38 + -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. 38 + -1x + -4x = -2 + 4x + -4x Combine like terms: -1x + -4x = -5x 38 + -5x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 38 + -5x = -2 + 0 38 + -5x = -2 Add '-38' to each side of the equation. 38 + -38 + -5x = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = -2 + -38 -5x = -2 + -38 Combine like terms: -2 + -38 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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