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Simplifying 4(4x + 1) = 2x + 32 Reorder the terms: 4(1 + 4x) = 2x + 32 (1 * 4 + 4x * 4) = 2x + 32 (4 + 16x) = 2x + 32 Reorder the terms: 4 + 16x = 32 + 2x Solving 4 + 16x = 32 + 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 = 32 + 2x + -2x Combine like terms: 16x + -2x = 14x 4 + 14x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 14x = 32 + 0 4 + 14x = 32 Add '-4' to each side of the equation. 4 + -4 + 14x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 32 + -4 14x = 32 + -4 Combine like terms: 32 + -4 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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