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Simplifying 3 + -1(4x + -1) = 2x + -38 Reorder the terms: 3 + -1(-1 + 4x) = 2x + -38 3 + (-1 * -1 + 4x * -1) = 2x + -38 3 + (1 + -4x) = 2x + -38 Combine like terms: 3 + 1 = 4 4 + -4x = 2x + -38 Reorder the terms: 4 + -4x = -38 + 2x Solving 4 + -4x = -38 + 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. 4 + -4x + -2x = -38 + 2x + -2x Combine like terms: -4x + -2x = -6x 4 + -6x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -6x = -38 + 0 4 + -6x = -38 Add '-4' to each side of the equation. 4 + -4 + -6x = -38 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -38 + -4 -6x = -38 + -4 Combine like terms: -38 + -4 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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