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Simplifying 2 = 2(4x + 1) + 2(3x) Reorder the terms: 2 = 2(1 + 4x) + 2(3x) 2 = (1 * 2 + 4x * 2) + 2(3x) 2 = (2 + 8x) + 2(3x) Remove parenthesis around (3x) 2 = 2 + 8x + 2 * 3x Multiply 2 * 3 2 = 2 + 8x + 6x Combine like terms: 8x + 6x = 14x 2 = 2 + 14x Add '-2' to each side of the equation. 2 + -2 = 2 + -2 + 14x Combine like terms: 2 + -2 = 0 0 = 2 + -2 + 14x Combine like terms: 2 + -2 = 0 0 = 0 + 14x 0 = 14x Solving 0 = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 0 + -14x = 14x + -14x Remove the zero: -14x = 14x + -14x Combine like terms: 14x + -14x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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