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Simplifying 4(4x + 2) = 2(x + 2) Reorder the terms: 4(2 + 4x) = 2(x + 2) (2 * 4 + 4x * 4) = 2(x + 2) (8 + 16x) = 2(x + 2) Reorder the terms: 8 + 16x = 2(2 + x) 8 + 16x = (2 * 2 + x * 2) 8 + 16x = (4 + 2x) Solving 8 + 16x = 4 + 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. 8 + 16x + -2x = 4 + 2x + -2x Combine like terms: 16x + -2x = 14x 8 + 14x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 14x = 4 + 0 8 + 14x = 4 Add '-8' to each side of the equation. 8 + -8 + 14x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 4 + -8 14x = 4 + -8 Combine like terms: 4 + -8 = -4 14x = -4 Divide each side by '14'. x = -0.2857142857 Simplifying x = -0.2857142857
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