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Simplifying 38 + x = -4(1 + 5x) 38 + x = (1 * -4 + 5x * -4) 38 + x = (-4 + -20x) Solving 38 + x = -4 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 38 + x + 20x = -4 + -20x + 20x Combine like terms: x + 20x = 21x 38 + 21x = -4 + -20x + 20x Combine like terms: -20x + 20x = 0 38 + 21x = -4 + 0 38 + 21x = -4 Add '-38' to each side of the equation. 38 + -38 + 21x = -4 + -38 Combine like terms: 38 + -38 = 0 0 + 21x = -4 + -38 21x = -4 + -38 Combine like terms: -4 + -38 = -42 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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