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Simplifying 2(4x + 3) = 6 + 2x(3) Reorder the terms: 2(3 + 4x) = 6 + 2x(3) (3 * 2 + 4x * 2) = 6 + 2x(3) (6 + 8x) = 6 + 2x(3) Reorder the terms for easier multiplication: 6 + 8x = 6 + 2 * 3x Multiply 2 * 3 6 + 8x = 6 + 6x Add '-6' to each side of the equation. 6 + -6 + 8x = 6 + -6 + 6x Combine like terms: 6 + -6 = 0 0 + 8x = 6 + -6 + 6x 8x = 6 + -6 + 6x Combine like terms: 6 + -6 = 0 8x = 0 + 6x 8x = 6x Solving 8x = 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. 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x 2x = 6x + -6x Combine like terms: 6x + -6x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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