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Simplifying 4(4x + 1) = 2x + -38 Reorder the terms: 4(1 + 4x) = 2x + -38 (1 * 4 + 4x * 4) = 2x + -38 (4 + 16x) = 2x + -38 Reorder the terms: 4 + 16x = -38 + 2x Solving 4 + 16x = -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 + 16x + -2x = -38 + 2x + -2x Combine like terms: 16x + -2x = 14x 4 + 14x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 14x = -38 + 0 4 + 14x = -38 Add '-4' to each side of the equation. 4 + -4 + 14x = -38 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = -38 + -4 14x = -38 + -4 Combine like terms: -38 + -4 = -42 14x = -42 Divide each side by '14'. x = -3 Simplifying x = -3
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