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Simplifying 2x + -4(5x + 1) = 3x + 38 Reorder the terms: 2x + -4(1 + 5x) = 3x + 38 2x + (1 * -4 + 5x * -4) = 3x + 38 2x + (-4 + -20x) = 3x + 38 Reorder the terms: -4 + 2x + -20x = 3x + 38 Combine like terms: 2x + -20x = -18x -4 + -18x = 3x + 38 Reorder the terms: -4 + -18x = 38 + 3x Solving -4 + -18x = 38 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + -18x + -3x = 38 + 3x + -3x Combine like terms: -18x + -3x = -21x -4 + -21x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -21x = 38 + 0 -4 + -21x = 38 Add '4' to each side of the equation. -4 + 4 + -21x = 38 + 4 Combine like terms: -4 + 4 = 0 0 + -21x = 38 + 4 -21x = 38 + 4 Combine like terms: 38 + 4 = 42 -21x = 42 Divide each side by '-21'. x = -2 Simplifying x = -2
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