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Simplifying 14 + 4x(3x + 1) = 6x(2x + 1) Reorder the terms: 14 + 4x(1 + 3x) = 6x(2x + 1) 14 + (1 * 4x + 3x * 4x) = 6x(2x + 1) 14 + (4x + 12x2) = 6x(2x + 1) Reorder the terms: 14 + 4x + 12x2 = 6x(1 + 2x) 14 + 4x + 12x2 = (1 * 6x + 2x * 6x) 14 + 4x + 12x2 = (6x + 12x2) Add '-12x2' to each side of the equation. 14 + 4x + 12x2 + -12x2 = 6x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 14 + 4x + 0 = 6x + 12x2 + -12x2 14 + 4x = 6x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 14 + 4x = 6x + 0 14 + 4x = 6x Solving 14 + 4x = 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. 14 + 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x 14 + -2x = 6x + -6x Combine like terms: 6x + -6x = 0 14 + -2x = 0 Add '-14' to each side of the equation. 14 + -14 + -2x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 0 + -14 -2x = 0 + -14 Combine like terms: 0 + -14 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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