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Simplifying 2(4x + 3) + 2x = 6x + 18 Reorder the terms: 2(3 + 4x) + 2x = 6x + 18 (3 * 2 + 4x * 2) + 2x = 6x + 18 (6 + 8x) + 2x = 6x + 18 Combine like terms: 8x + 2x = 10x 6 + 10x = 6x + 18 Reorder the terms: 6 + 10x = 18 + 6x Solving 6 + 10x = 18 + 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 + 10x + -6x = 18 + 6x + -6x Combine like terms: 10x + -6x = 4x 6 + 4x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 4x = 18 + 0 6 + 4x = 18 Add '-6' to each side of the equation. 6 + -6 + 4x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 18 + -6 4x = 18 + -6 Combine like terms: 18 + -6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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