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Simplifying 5x + 4(3x + -11) + 6 = 16 + 14x Reorder the terms: 5x + 4(-11 + 3x) + 6 = 16 + 14x 5x + (-11 * 4 + 3x * 4) + 6 = 16 + 14x 5x + (-44 + 12x) + 6 = 16 + 14x Reorder the terms: -44 + 6 + 5x + 12x = 16 + 14x Combine like terms: -44 + 6 = -38 -38 + 5x + 12x = 16 + 14x Combine like terms: 5x + 12x = 17x -38 + 17x = 16 + 14x Solving -38 + 17x = 16 + 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. -38 + 17x + -14x = 16 + 14x + -14x Combine like terms: 17x + -14x = 3x -38 + 3x = 16 + 14x + -14x Combine like terms: 14x + -14x = 0 -38 + 3x = 16 + 0 -38 + 3x = 16 Add '38' to each side of the equation. -38 + 38 + 3x = 16 + 38 Combine like terms: -38 + 38 = 0 0 + 3x = 16 + 38 3x = 16 + 38 Combine like terms: 16 + 38 = 54 3x = 54 Divide each side by '3'. x = 18 Simplifying x = 18
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