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Simplifying 2(4x + 2) + 3(2x + 7) = 4 Reorder the terms: 2(2 + 4x) + 3(2x + 7) = 4 (2 * 2 + 4x * 2) + 3(2x + 7) = 4 (4 + 8x) + 3(2x + 7) = 4 Reorder the terms: 4 + 8x + 3(7 + 2x) = 4 4 + 8x + (7 * 3 + 2x * 3) = 4 4 + 8x + (21 + 6x) = 4 Reorder the terms: 4 + 21 + 8x + 6x = 4 Combine like terms: 4 + 21 = 25 25 + 8x + 6x = 4 Combine like terms: 8x + 6x = 14x 25 + 14x = 4 Solving 25 + 14x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 14x = 4 + -25 Combine like terms: 25 + -25 = 0 0 + 14x = 4 + -25 14x = 4 + -25 Combine like terms: 4 + -25 = -21 14x = -21 Divide each side by '14'. x = -1.5 Simplifying x = -1.5
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