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Simplifying 2(4x + 3) = 10 + -4x Reorder the terms: 2(3 + 4x) = 10 + -4x (3 * 2 + 4x * 2) = 10 + -4x (6 + 8x) = 10 + -4x Solving 6 + 8x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 8x + 4x = 10 + -4x + 4x Combine like terms: 8x + 4x = 12x 6 + 12x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 12x = 10 + 0 6 + 12x = 10 Add '-6' to each side of the equation. 6 + -6 + 12x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 10 + -6 12x = 10 + -6 Combine like terms: 10 + -6 = 4 12x = 4 Divide each side by '12'. x = 0.3333333333 Simplifying x = 0.3333333333
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