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Simplifying 4(4x + 1) = 2x + -6x Reorder the terms: 4(1 + 4x) = 2x + -6x (1 * 4 + 4x * 4) = 2x + -6x (4 + 16x) = 2x + -6x Combine like terms: 2x + -6x = -4x 4 + 16x = -4x Solving 4 + 16x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + 16x + 4x = -4x + 4x Combine like terms: 16x + 4x = 20x 4 + 20x = -4x + 4x Combine like terms: -4x + 4x = 0 4 + 20x = 0 Add '-4' to each side of the equation. 4 + -4 + 20x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 20x = 0 + -4 20x = 0 + -4 Combine like terms: 0 + -4 = -4 20x = -4 Divide each side by '20'. x = -0.2 Simplifying x = -0.2
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