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Simplifying 4(2x + 4) = -6x + 2 Reorder the terms: 4(4 + 2x) = -6x + 2 (4 * 4 + 2x * 4) = -6x + 2 (16 + 8x) = -6x + 2 Reorder the terms: 16 + 8x = 2 + -6x Solving 16 + 8x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 16 + 8x + 6x = 2 + -6x + 6x Combine like terms: 8x + 6x = 14x 16 + 14x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 16 + 14x = 2 + 0 16 + 14x = 2 Add '-16' to each side of the equation. 16 + -16 + 14x = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 14x = 2 + -16 14x = 2 + -16 Combine like terms: 2 + -16 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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