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Simplifying 2(3 + 7x) = 4 + -2(3x + -2) (3 * 2 + 7x * 2) = 4 + -2(3x + -2) (6 + 14x) = 4 + -2(3x + -2) Reorder the terms: 6 + 14x = 4 + -2(-2 + 3x) 6 + 14x = 4 + (-2 * -2 + 3x * -2) 6 + 14x = 4 + (4 + -6x) Combine like terms: 4 + 4 = 8 6 + 14x = 8 + -6x Solving 6 + 14x = 8 + -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. 6 + 14x + 6x = 8 + -6x + 6x Combine like terms: 14x + 6x = 20x 6 + 20x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 20x = 8 + 0 6 + 20x = 8 Add '-6' to each side of the equation. 6 + -6 + 20x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 20x = 8 + -6 20x = 8 + -6 Combine like terms: 8 + -6 = 2 20x = 2 Divide each side by '20'. x = 0.1 Simplifying x = 0.1
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