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Simplifying 7(2x + 4) + 2(5 + -7x + -3x) = 14 Reorder the terms: 7(4 + 2x) + 2(5 + -7x + -3x) = 14 (4 * 7 + 2x * 7) + 2(5 + -7x + -3x) = 14 (28 + 14x) + 2(5 + -7x + -3x) = 14 Combine like terms: -7x + -3x = -10x 28 + 14x + 2(5 + -10x) = 14 28 + 14x + (5 * 2 + -10x * 2) = 14 28 + 14x + (10 + -20x) = 14 Reorder the terms: 28 + 10 + 14x + -20x = 14 Combine like terms: 28 + 10 = 38 38 + 14x + -20x = 14 Combine like terms: 14x + -20x = -6x 38 + -6x = 14 Solving 38 + -6x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -6x = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -6x = 14 + -38 -6x = 14 + -38 Combine like terms: 14 + -38 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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